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55416864 = 253577259
BaseRepresentation
bin1101001101100…
…1100000100000
310212021110122110
43103121200200
5103141314424
65255435320
71242015126
oct323314040
9125243573
1055416864
1129310568
1216685b40
13b633b59
147507916
154ce9c29
hex34d9820

55416864 has 24 divisors (see below), whose sum is σ = 145469520. Its totient is φ = 18472256.

The previous prime is 55416857. The next prime is 55416869. The reversal of 55416864 is 46861455.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (55416869) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 288534 + ... + 288725.

It is an arithmetic number, because the mean of its divisors is an integer number (6061230).

Almost surely, 255416864 is an apocalyptic number.

It is an amenable number.

55416864 is an abundant number, since it is smaller than the sum of its proper divisors (90052656).

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

55416864 is a wasteful number, since it uses less digits than its factorization.

55416864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577272 (or 577264 counting only the distinct ones).

The product of its digits is 115200, while the sum is 39.

The square root of 55416864 is about 7444.2503987977. The cubic root of 55416864 is about 381.2536251917.

It can be divided in two parts, 55416 and 864, that added together give a triangular number (56280 = T335).

The spelling of 55416864 in words is "fifty-five million, four hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 577259 1154518 1731777 2309036 3463554 4618072 6927108 9236144 13854216 18472288 27708432 55416864