Search a number
-
+
556116672 = 26323912119
BaseRepresentation
bin100001001001011…
…010101011000000
31102202102122122210
4201021122223000
52114331213142
6131103302120
716531625256
oct4111325300
91382378583
10556116672
11265a05761
121362aa940
138b2a2627
1453c025d6
1533c5049c
hex2125aac0

556116672 has 56 divisors (see below), whose sum is σ = 1477670400. Its totient is φ = 184581376.

The previous prime is 556116647. The next prime is 556116677. The reversal of 556116672 is 276611655.

It is a self number, because there is not a number n which added to its sum of digits gives 556116672.

It is not an unprimeable number, because it can be changed into a prime (556116677) 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 7 ways as a sum of consecutive naturals, for example, 39829 + ... + 51947.

Almost surely, 2556116672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 556116672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738835200).

556116672 is an abundant number, since it is smaller than the sum of its proper divisors (921553728).

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

556116672 is a wasteful number, since it uses less digits than its factorization.

556116672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12373 (or 12363 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 556116672 is about 23582.1261127999. The cubic root of 556116672 is about 822.3473647469.

The spelling of 556116672 in words is "five hundred fifty-six million, one hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 239 478 717 956 1434 1912 2868 3824 5736 7648 11472 12119 15296 22944 24238 36357 45888 48476 72714 96952 145428 193904 290856 387808 581712 775616 1163424 2326848 2896441 5792882 8689323 11585764 17378646 23171528 34757292 46343056 69514584 92686112 139029168 185372224 278058336 556116672