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55488264 = 23313315737
BaseRepresentation
bin1101001110101…
…0111100001000
310212102002120220
43103222330020
5103201111024
65301150040
71242433236
oct323527410
9125362526
1055488264
112935a177
12166bb320
13b65a4c0
147525956
154d10e79
hex34eaf08

55488264 has 64 divisors (see below), whose sum is σ = 154237440. Its totient is φ = 16519680.

The previous prime is 55488229. The next prime is 55488269. The reversal of 55488264 is 46288455.

55488264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55488269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6804 + ... + 12540.

It is an arithmetic number, because the mean of its divisors is an integer number (2409960).

Almost surely, 255488264 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 55488264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77118720).

55488264 is an abundant number, since it is smaller than the sum of its proper divisors (98749176).

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

55488264 is a wasteful number, since it uses less digits than its factorization.

55488264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5790 (or 5786 counting only the distinct ones).

The product of its digits is 307200, while the sum is 42.

The square root of 55488264 is about 7449.0445024849. The cubic root of 55488264 is about 381.4172927372.

The spelling of 55488264 in words is "fifty-five million, four hundred eighty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 186 248 312 372 403 744 806 1209 1612 2418 3224 4836 5737 9672 11474 17211 22948 34422 45896 68844 74581 137688 149162 177847 223743 298324 355694 447486 533541 596648 711388 894972 1067082 1422776 1789944 2134164 2312011 4268328 4624022 6936033 9248044 13872066 18496088 27744132 55488264