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54935808 = 283233307
BaseRepresentation
bin1101000110010…
…0000100000000
310211101000202120
43101210010000
5103030421213
65241244240
71234642464
oct321440400
9124330676
1054935808
11290120a4
1216493680
13b4c5bc5
1474204a4
154c52423
hex3464100

54935808 has 72 divisors (see below), whose sum is σ = 147315168. Its totient is φ = 18173952.

The previous prime is 54935761. The next prime is 54935843. The reversal of 54935808 is 80853945.

It is a super-2 number, since 2×549358082 = 6035886001225728, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54935808.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 178791 + ... + 179097.

It is an arithmetic number, because the mean of its divisors is an integer number (2046044).

Almost surely, 254935808 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 54935808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73657584).

54935808 is an abundant number, since it is smaller than the sum of its proper divisors (92379360).

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

54935808 is a wasteful number, since it uses less digits than its factorization.

54935808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 54935808 is about 7411.8693998208. The cubic root of 54935808 is about 380.1472374951.

The spelling of 54935808 in words is "fifty-four million, nine hundred thirty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 233 256 307 384 466 614 699 768 921 932 1228 1398 1842 1864 2456 2796 3684 3728 4912 5592 7368 7456 9824 11184 14736 14912 19648 22368 29472 29824 39296 44736 58944 59648 71531 78592 89472 117888 143062 178944 214593 235776 286124 429186 572248 858372 1144496 1716744 2288992 3433488 4577984 6866976 9155968 13733952 18311936 27467904 54935808