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55168624 = 2471014877
BaseRepresentation
bin1101001001110…
…0111001110000
310211210212010101
43102130321300
5103110343444
65250242144
71236632320
oct322347160
9124725111
1055168624
1129161005
1216586354
13b577b74
147481280
154c9b3d4
hex349ce70

55168624 has 40 divisors (see below), whose sum is σ = 123393888. Its totient is φ = 23404800.

The previous prime is 55168579. The next prime is 55168627. The reversal of 55168624 is 42686155.

55168624 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55168627) 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 7 ways as a sum of consecutive naturals, for example, 8874 + ... + 13750.

Almost surely, 255168624 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 55168624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61696944).

55168624 is an abundant number, since it is smaller than the sum of its proper divisors (68225264).

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

55168624 is a wasteful number, since it uses less digits than its factorization.

55168624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4993 (or 4987 counting only the distinct ones).

The product of its digits is 57600, while the sum is 37.

The square root of 55168624 is about 7427.5584144455. The cubic root of 55168624 is about 380.6834974798.

The spelling of 55168624 in words is "fifty-five million, one hundred sixty-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 56 101 112 202 404 707 808 1414 1616 2828 4877 5656 9754 11312 19508 34139 39016 68278 78032 136556 273112 492577 546224 985154 1970308 3448039 3940616 6896078 7881232 13792156 27584312 55168624