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54969156 = 2232111271093
BaseRepresentation
bin1101000110110…
…0001101000100
310211102201111200
43101230031010
5103033003111
65242102500
71235141634
oct321541504
9124381450
1054969156
1129035160
12164aaa30
13b508138
14742c6c4
154c5c256
hex346c344

54969156 has 72 divisors (see below), whose sum is σ = 152914944. Its totient is φ = 16511040.

The previous prime is 54969139. The next prime is 54969163. The reversal of 54969156 is 65196945.

It is a happy number.

54969156 is a `hidden beast` number, since 5 + 496 + 9 + 156 = 666.

It is a super-2 number, since 2×549691562 = 6043216222704672, which contains 22 as substring.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 49746 + ... + 50838.

Almost surely, 254969156 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 54969156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76457472).

54969156 is an abundant number, since it is smaller than the sum of its proper divisors (97945788).

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

54969156 is a wasteful number, since it uses less digits than its factorization.

54969156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1241 (or 1236 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The square root of 54969156 is about 7414.1186934119. The cubic root of 54969156 is about 380.2241429249.

The spelling of 54969156 in words is "fifty-four million, nine hundred sixty-nine thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 127 132 198 254 381 396 508 762 1093 1143 1397 1524 2186 2286 2794 3279 4191 4372 4572 5588 6558 8382 9837 12023 12573 13116 16764 19674 24046 25146 36069 39348 48092 50292 72138 108207 138811 144276 216414 277622 416433 432828 555244 832866 1249299 1526921 1665732 2498598 3053842 4580763 4997196 6107684 9161526 13742289 18323052 27484578 54969156