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55314324 = 223213181653
BaseRepresentation
bin1101001100000…
…0011110010100
310212002020222200
43103000132110
5103130024244
65253324500
71241110152
oct323003624
9125066880
1055314324
112925051a
1216636730
13b5c9290
1474bc3d2
154cc9669
hex34c0794

55314324 has 72 divisors (see below), whose sum is σ = 151641672. Its totient is φ = 16899840.

The previous prime is 55314319. The next prime is 55314349. The reversal of 55314324 is 42341355.

It can be written as a sum of positive squares in 4 ways, for example, as 4334724 + 50979600 = 2082^2 + 7140^2 .

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 84382 + ... + 85034.

Almost surely, 255314324 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 55314324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75820836).

55314324 is an abundant number, since it is smaller than the sum of its proper divisors (96327348).

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

55314324 is a wasteful number, since it uses less digits than its factorization.

55314324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 857 (or 852 counting only the distinct ones).

The product of its digits is 7200, while the sum is 27.

The square root of 55314324 is about 7437.3600154894. The cubic root of 55314324 is about 381.0183304881.

Adding to 55314324 its reverse (42341355), we get a palindrome (97655679).

The spelling of 55314324 in words is "fifty-five million, three hundred fourteen thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 181 234 362 468 543 653 724 1086 1306 1629 1959 2172 2353 2612 3258 3918 4706 5877 6516 7059 7836 8489 9412 11754 14118 16978 21177 23508 25467 28236 33956 42354 50934 76401 84708 101868 118193 152802 236386 305604 354579 472772 709158 1063737 1418316 1536509 2127474 3073018 4254948 4609527 6146036 9219054 13828581 18438108 27657162 55314324