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4820835840 = 29351633851
BaseRepresentation
bin1000111110101100…
…00001111000000000
3110102222020211112120
410133112001320000
534333113221330
62114211124240
7230315266662
oct43726017000
913388224476
104820835840
112054266357
12b265a3680
135ba9bb2b2
1433a384532
151d3365c10
hex11f581e00

4820835840 has 160 divisors (see below), whose sum is σ = 15510185856. Its totient is φ = 1277337600.

The previous prime is 4820835839. The next prime is 4820835869. The reversal of 4820835840 is 485380284.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 4820835792 and 4820835801.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1249915 + ... + 1253765.

Almost surely, 24820835840 is an apocalyptic number.

4820835840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4820835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7755092928).

4820835840 is an abundant number, since it is smaller than the sum of its proper divisors (10689350016).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4820835840 is a wasteful number, since it uses less digits than its factorization.

4820835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4040 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 42.

The square root of 4820835840 is about 69432.2391976523. The cubic root of 4820835840 is about 1689.3025891230.

It can be divided in two parts, 48208 and 35840, that added together give a palindrome (84048).

The spelling of 4820835840 in words is "four billion, eight hundred twenty million, eight hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 163 192 240 256 320 326 384 480 489 512 640 652 768 815 960 978 1280 1304 1536 1630 1920 1956 2445 2560 2608 3260 3840 3851 3912 4890 5216 6520 7680 7702 7824 9780 10432 11553 13040 15404 15648 19255 19560 20864 23106 26080 30808 31296 38510 39120 41728 46212 52160 57765 61616 62592 77020 78240 83456 92424 104320 115530 123232 125184 154040 156480 184848 208640 231060 246464 250368 308080 312960 369696 417280 462120 492928 616160 625920 627713 739392 924240 985856 1232320 1251840 1255426 1478784 1848480 1883139 1971712 2464640 2510852 2957568 3138565 3696960 3766278 4929280 5021704 5915136 6277130 7393920 7532556 9415695 9858560 10043408 12554260 14787840 15065112 18831390 20086816 25108520 29575680 30130224 37662780 40173632 50217040 60260448 75325560 80347264 100434080 120520896 150651120 160694528 200868160 241041792 301302240 321389056 401736320 482083584 602604480 803472640 964167168 1205208960 1606945280 2410417920 4820835840