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53625144 = 23319235113
BaseRepresentation
bin1100110010010…
…0000100111000
310201220102212110
43030210010320
5102212001034
65153212320
71220543346
oct314440470
9121812773
1053625144
11282a7401
1215b610a0
13b157471
14719c996
154a93de9
hex3324138

53625144 has 64 divisors (see below), whose sum is σ = 147283200. Its totient is φ = 16194816.

The previous prime is 53625139. The next prime is 53625149. The reversal of 53625144 is 44152635.

It is an interprime number because it is at equal distance from previous prime (53625139) and next prime (53625149).

It is a hoax number, since the sum of its digits (30) 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 (53625149) 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, 7932 + ... + 13044.

It is an arithmetic number, because the mean of its divisors is an integer number (2301300).

Almost surely, 253625144 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 53625144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73641600).

53625144 is an abundant number, since it is smaller than the sum of its proper divisors (93658056).

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

53625144 is a wasteful number, since it uses less digits than its factorization.

53625144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5164 (or 5160 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 53625144 is about 7322.9190900897. The cubic root of 53625144 is about 377.0996741519.

Adding to 53625144 its reverse (44152635), we get a palindrome (97777779).

The spelling of 53625144 in words is "fifty-three million, six hundred twenty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 23 24 38 46 57 69 76 92 114 138 152 184 228 276 437 456 552 874 1311 1748 2622 3496 5113 5244 10226 10488 15339 20452 30678 40904 61356 97147 117599 122712 194294 235198 291441 352797 388588 470396 582882 705594 777176 940792 1165764 1411188 2234381 2331528 2822376 4468762 6703143 8937524 13406286 17875048 26812572 53625144