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4889920 = 26573759
BaseRepresentation
bin10010101001110101000000
3100012102201011
4102221311000
52222434140
6252450304
756364220
oct22516500
910172634
104889920
11283a962
121779994
131022959
14914080
15668cea
hex4a9d40

4889920 has 112 divisors (see below), whose sum is σ = 13898880. Its totient is φ = 1603584.

The previous prime is 4889891. The next prime is 4889921. The reversal of 4889920 is 299884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×48899202 = 47822635212800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4889921) 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, 82851 + ... + 82909.

Almost surely, 24889920 is an apocalyptic number.

4889920 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 4889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6949440).

4889920 is an abundant number, since it is smaller than the sum of its proper divisors (9008960).

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

4889920 is a wasteful number, since it uses less digits than its factorization.

4889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The square root of 4889920 is about 2211.3163500503. The cubic root of 4889920 is about 169.7333767485.

The spelling of 4889920 in words is "four million, eight hundred eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 37 40 56 59 64 70 74 80 112 118 140 148 160 185 224 236 259 280 295 296 320 370 413 448 472 518 560 590 592 740 826 944 1036 1120 1180 1184 1295 1480 1652 1888 2065 2072 2183 2240 2360 2368 2590 2960 3304 3776 4130 4144 4366 4720 5180 5920 6608 8260 8288 8732 9440 10360 10915 11840 13216 15281 16520 16576 17464 18880 20720 21830 26432 30562 33040 34928 41440 43660 61124 66080 69856 76405 82880 87320 122248 132160 139712 152810 174640 244496 305620 349280 488992 611240 698560 977984 1222480 2444960 4889920