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55345896 = 2333892879
BaseRepresentation
bin1101001100100…
…0001011101000
310212010212022000
43103020023220
5103132032041
65254131000
71241301204
oct323101350
9125125260
1055345896
1129272211
1216650a60
13b60a768
1474c9b04
154cd3bb6
hex34c82e8

55345896 has 64 divisors (see below), whose sum is σ = 155520000. Its totient is φ = 18235008.

The previous prime is 55345883. The next prime is 55345903. The reversal of 55345896 is 69854355.

55345896 is a `hidden beast` number, since 553 + 4 + 5 + 8 + 96 = 666.

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 15 ways as a sum of consecutive naturals, for example, 17785 + ... + 20663.

It is an arithmetic number, because the mean of its divisors is an integer number (2430000).

Almost surely, 255345896 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 55345896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77760000).

55345896 is an abundant number, since it is smaller than the sum of its proper divisors (100174104).

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

55345896 is a wasteful number, since it uses less digits than its factorization.

55345896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2983 (or 2973 counting only the distinct ones).

The product of its digits is 648000, while the sum is 45.

The square root of 55345896 is about 7439.4822400487. The cubic root of 55345896 is about 381.0908085364.

The spelling of 55345896 in words is "fifty-five million, three hundred forty-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 89 108 178 216 267 356 534 712 801 1068 1602 2136 2403 2879 3204 4806 5758 6408 8637 9612 11516 17274 19224 23032 25911 34548 51822 69096 77733 103644 155466 207288 256231 310932 512462 621864 768693 1024924 1537386 2049848 2306079 3074772 4612158 6149544 6918237 9224316 13836474 18448632 27672948 55345896