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55630152 = 23342932
BaseRepresentation
bin1101010000110…
…1100101001000
310212200022020000
43110031211020
5103220131102
65304203000
71243564014
oct324154510
9125608200
1055630152
1129446836
1216769460
13b6a9c66
147561544
154d3d01c
hex350d948

55630152 has 60 divisors (see below), whose sum is σ = 156349545. Its totient is φ = 18480096.

The previous prime is 55630147. The next prime is 55630181. The reversal of 55630152 is 25103655.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 40373316 + 15256836 = 6354^2 + 3906^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=5274.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 189718 + ... + 190010.

Almost surely, 255630152 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 55630152

55630152 is an abundant number, since it is smaller than the sum of its proper divisors (100719393).

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

55630152 is an equidigital number, since it uses as much as digits as its factorization.

55630152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The square root of 55630152 is about 7458.5623279557. The cubic root of 55630152 is about 381.7421210273.

The spelling of 55630152 in words is "fifty-five million, six hundred thirty thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 293 324 586 648 879 1172 1758 2344 2637 3516 5274 7032 7911 10548 15822 21096 23733 31644 47466 63288 85849 94932 171698 189864 257547 343396 515094 686792 772641 1030188 1545282 2060376 2317923 3090564 4635846 6181128 6953769 9271692 13907538 18543384 27815076 55630152