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53141544 = 2332898293
BaseRepresentation
bin1100101010111…
…0000000101000
310200222212111100
43022232000220
5102101012134
65135001400
71213460421
oct312560050
9120885440
1053141544
1127aa7035
1215969260
13b018301
1470b4648
1549ea999
hex32ae028

53141544 has 48 divisors (see below), whose sum is σ = 145559700. Its totient is φ = 17512704.

The previous prime is 53141531. The next prime is 53141549. The reversal of 53141544 is 44514135.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 48024900 + 5116644 = 6930^2 + 2262^2 .

It is not an unprimeable number, because it can be changed into a prime (53141549) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2262 + ... + 10554.

Almost surely, 253141544 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 53141544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72779850).

53141544 is an abundant number, since it is smaller than the sum of its proper divisors (92418156).

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

53141544 is a wasteful number, since it uses less digits than its factorization.

53141544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8394 (or 8387 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 53141544 is about 7289.8246892501. The cubic root of 53141544 is about 375.9626679398.

Adding to 53141544 its reverse (44514135), we get a palindrome (97655679).

The spelling of 53141544 in words is "fifty-three million, one hundred forty-one thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 6408 8293 16586 24879 33172 49758 66344 74637 99516 149274 199032 298548 597096 738077 1476154 2214231 2952308 4428462 5904616 6642693 8856924 13285386 17713848 26570772 53141544