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55366304 = 2571913009
BaseRepresentation
bin1101001100110…
…1001010100000
310212011220021212
43103031022200
5103133210204
65254405252
71241414540
oct323151240
9125156255
1055366304
1129286584
1216660828
13b616b36
1474d3320
154cd9c6e
hex34cd2a0

55366304 has 48 divisors (see below), whose sum is σ = 131140800. Its totient is φ = 22477824.

The previous prime is 55366301. The next prime is 55366309. The reversal of 55366304 is 40366355.

55366304 = T85 + T86 + ... + T692.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (55366301) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 2249 + ... + 10760.

It is an arithmetic number, because the mean of its divisors is an integer number (2732100).

Almost surely, 255366304 is an apocalyptic number.

It is an amenable number.

55366304 is an abundant number, since it is smaller than the sum of its proper divisors (75774496).

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

55366304 is a wasteful number, since it uses less digits than its factorization.

55366304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13045 (or 13037 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 32.

The square root of 55366304 is about 7440.8537144605. The cubic root of 55366304 is about 381.1376433580.

The spelling of 55366304 in words is "fifty-five million, three hundred sixty-six thousand, three hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 13009 26018 52036 91063 104072 182126 208144 247171 364252 416288 494342 728504 988684 1457008 1730197 1977368 2914016 3460394 3954736 6920788 7909472 13841576 27683152 55366304