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30556656 = 2433135441
BaseRepresentation
bin111010010010…
…0000111110000
32010111102212000
41310210013300
530310303111
63010534000
7520504314
oct164440760
963442760
1030556656
1116280739
12a297300
13643b480
1440b5b44
152a38c56
hex1d241f0

30556656 has 80 divisors (see below), whose sum is σ = 94473120. Its totient is φ = 9400320.

The previous prime is 30556651. The next prime is 30556661. The reversal of 30556656 is 65665503.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (30556651) and next prime (30556661).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 30556656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30556651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2896 + ... + 8336.

It is an arithmetic number, because the mean of its divisors is an integer number (1180914).

Almost surely, 230556656 is an apocalyptic number.

30556656 is a gapful number since it is divisible by the number (36) 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 30556656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47236560).

30556656 is an abundant number, since it is smaller than the sum of its proper divisors (63916464).

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

30556656 is a wasteful number, since it uses less digits than its factorization.

30556656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5471 (or 5459 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 30556656 is about 5527.8075219747. The cubic root of 30556656 is about 312.6333289201.

The spelling of 30556656 in words is "thirty million, five hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5441 5616 10882 16323 21764 32646 43528 48969 65292 70733 87056 97938 130584 141466 146907 195876 212199 261168 282932 293814 391752 424398 565864 587628 636597 783504 848796 1131728 1175256 1273194 1697592 1909791 2350512 2546388 3395184 3819582 5092776 7639164 10185552 15278328 30556656