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55642920 = 23351014591
BaseRepresentation
bin1101010001000…
…0101100101000
310212200221201220
43110100230220
5103221033140
65304342040
71243646154
oct324205450
9125627656
1055642920
1129455393
1216774920
13b6b2a08
147566064
154d41bd0
hex3510b28

55642920 has 64 divisors (see below), whose sum is σ = 168618240. Its totient is φ = 14688000.

The previous prime is 55642901. The next prime is 55642927. The reversal of 55642920 is 2924655.

It is a super-2 number, since 2×556429202 = 6192269092252800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55642927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9825 + ... + 14415.

It is an arithmetic number, because the mean of its divisors is an integer number (2634660).

Almost surely, 255642920 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 55642920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84309120).

55642920 is an abundant number, since it is smaller than the sum of its proper divisors (112975320).

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

55642920 is a wasteful number, since it uses less digits than its factorization.

55642920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4706 (or 4702 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 55642920 is about 7459.4182078765. The cubic root of 55642920 is about 381.7713240786.

The spelling of 55642920 in words is "fifty-five million, six hundred forty-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 120 202 303 404 505 606 808 1010 1212 1515 2020 2424 3030 4040 4591 6060 9182 12120 13773 18364 22955 27546 36728 45910 55092 68865 91820 110184 137730 183640 275460 463691 550920 927382 1391073 1854764 2318455 2782146 3709528 4636910 5564292 6955365 9273820 11128584 13910730 18547640 27821460 55642920