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54996656 = 2411132432
BaseRepresentation
bin1101000111001…
…0111010110000
310211111010020012
43101302322300
5103034343111
65242434052
71235315051
oct321627260
9124433205
1054996656
1129053890
1216502928
13b517800
147438728
154c6548b
hex3472eb0

54996656 has 90 divisors (see below), whose sum is σ = 128867868. Its totient is φ = 22538880.

The previous prime is 54996653. The next prime is 54996707. The reversal of 54996656 is 65669945.

54996656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54996653) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 1278971 + ... + 1279013.

Almost surely, 254996656 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 54996656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64433934).

54996656 is an abundant number, since it is smaller than the sum of its proper divisors (73871212).

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

54996656 is a wasteful number, since it uses less digits than its factorization.

54996656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 69 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 50.

The square root of 54996656 is about 7415.9730312347. The cubic root of 54996656 is about 380.2875386029.

Subtracting 54996656 from its reverse (65669945), we obtain a square (10673289 = 32672).

The spelling of 54996656 in words is "fifty-four million, nine hundred ninety-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 43 44 52 86 88 104 143 169 172 176 208 286 338 344 473 559 572 676 688 946 1118 1144 1352 1849 1859 1892 2236 2288 2704 3698 3718 3784 4472 6149 7267 7396 7436 7568 8944 12298 14534 14792 14872 20339 24037 24596 29068 29584 29744 40678 48074 49192 58136 79937 81356 96148 98384 116272 159874 162712 192296 264407 312481 319748 325424 384592 528814 624962 639496 1057628 1249924 1278992 2115256 2499848 3437291 4230512 4999696 6874582 13749164 27498328 54996656