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54990264 = 23372911287
BaseRepresentation
bin1101000111000…
…1010110111000
310211110210110110
43101301112320
5103034142024
65242344320
71235260320
oct321612670
9124423413
1054990264
1129049aaa
12164bb0a0
13b514924
147436280
154c63629
hex34715b8

54990264 has 64 divisors (see below), whose sum is σ = 162547200. Its totient is φ = 15168384.

The previous prime is 54990253. The next prime is 54990277. The reversal of 54990264 is 46209945.

54990264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 772 + ... + 10515.

It is an arithmetic number, because the mean of its divisors is an integer number (2539800).

Almost surely, 254990264 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 54990264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81273600).

54990264 is an abundant number, since it is smaller than the sum of its proper divisors (107556936).

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

54990264 is a wasteful number, since it uses less digits than its factorization.

54990264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11332 (or 11328 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 54990264 is about 7415.5420570583. The cubic root of 54990264 is about 380.2728050276.

The spelling of 54990264 in words is "fifty-four million, nine hundred ninety thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 29 42 56 58 84 87 116 168 174 203 232 348 406 609 696 812 1218 1624 2436 4872 11287 22574 33861 45148 67722 79009 90296 135444 158018 237027 270888 316036 327323 474054 632072 654646 948108 981969 1309292 1896216 1963938 2291261 2618584 3927876 4582522 6873783 7855752 9165044 13747566 18330088 27495132 54990264