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55426464 = 253364151
BaseRepresentation
bin1101001101101…
…1110110100000
310212021221211000
43103123312200
5103142121324
65255552000
71242055122
oct323336640
9125257730
1055426464
11293177a5
121668b600
13b638332
14750b212
154cec9c9
hex34dbda0

55426464 has 48 divisors (see below), whose sum is σ = 161663040. Its totient is φ = 18475200.

The previous prime is 55426457. The next prime is 55426471. The reversal of 55426464 is 46462455.

55426464 is a `hidden beast` number, since 5 + 5 + 4 + 2 + 646 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (55426457) and next prime (55426471).

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31212 + ... + 32939.

It is an arithmetic number, because the mean of its divisors is an integer number (3367980).

Almost surely, 255426464 is an apocalyptic number.

55426464 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

55426464 is an abundant number, since it is smaller than the sum of its proper divisors (106236576).

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

55426464 is a wasteful number, since it uses less digits than its factorization.

55426464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64170 (or 64156 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 55426464 is about 7444.8951638018. The cubic root of 55426464 is about 381.2756390891.

The spelling of 55426464 in words is "fifty-five million, four hundred twenty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 64151 128302 192453 256604 384906 513208 577359 769812 1026416 1154718 1539624 1732077 2052832 2309436 3079248 3464154 4618872 6158496 6928308 9237744 13856616 18475488 27713232 55426464