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4852407680 = 275311311867
BaseRepresentation
bin1001000010011100…
…11101110110000000
3110112011122211221222
410201032131312000
534414204021210
62121255534212
7231150533111
oct44116356600
913464584858
104852407680
11207006a78a
12b3508a368
135c43c3863
14340642208
151d6000655
hex12139dd80

4852407680 has 128 divisors (see below), whose sum is σ = 12072360960. Its totient is φ = 1863014400.

The previous prime is 4852407673. The next prime is 4852407683. The reversal of 4852407680 is 867042584.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4852407683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2598107 + ... + 2599973.

It is an arithmetic number, because the mean of its divisors is an integer number (94315320).

Almost surely, 24852407680 is an apocalyptic number.

4852407680 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 4852407680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6036180480).

4852407680 is an abundant number, since it is smaller than the sum of its proper divisors (7219953280).

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

4852407680 is a wasteful number, since it uses less digits than its factorization.

4852407680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2048 (or 2036 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The square root of 4852407680 is about 69659.2253761122. The cubic root of 4852407680 is about 1692.9823371260.

The spelling of 4852407680 in words is "four billion, eight hundred fifty-two million, four hundred seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 131 155 160 248 262 310 320 496 524 620 640 655 992 1048 1240 1310 1867 1984 2096 2480 2620 3734 3968 4061 4192 4960 5240 7468 8122 8384 9335 9920 10480 14936 16244 16768 18670 19840 20305 20960 29872 32488 37340 40610 41920 57877 59744 64976 74680 81220 83840 115754 119488 129952 149360 162440 231508 238976 244577 259904 289385 298720 324880 463016 489154 519808 578770 597440 649760 926032 978308 1157540 1194880 1222885 1299520 1852064 1956616 2315080 2445770 2599040 3704128 3913232 4630160 4891540 7408256 7581887 7826464 9260320 9783080 15163774 15652928 18520640 19566160 30327548 31305856 37041280 37909435 39132320 60655096 75818870 78264640 121310192 151637740 156529280 242620384 303275480 485240768 606550960 970481536 1213101920 2426203840 4852407680