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53557344 = 25321710939
BaseRepresentation
bin1100110001001…
…1100001100000
310201202222212100
43030103201200
5102202313334
65151530400
71220141601
oct314234140
9121688770
1053557344
1128260475
1215b29a00
13b132649
147181da8
154a7dc99
hex3313860

53557344 has 72 divisors (see below), whose sum is σ = 161277480. Its totient is φ = 16800768.

The previous prime is 53557331. The next prime is 53557369. The reversal of 53557344 is 44375535.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 53557299 and 53557308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 574 + ... + 10365.

It is an arithmetic number, because the mean of its divisors is an integer number (2239965).

Almost surely, 253557344 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 53557344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80638740).

53557344 is an abundant number, since it is smaller than the sum of its proper divisors (107720136).

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

53557344 is a wasteful number, since it uses less digits than its factorization.

53557344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10972 (or 10961 counting only the distinct ones).

The product of its digits is 126000, while the sum is 36.

The square root of 53557344 is about 7318.2883244649. The cubic root of 53557344 is about 376.9406806973.

The spelling of 53557344 in words is "fifty-three million, five hundred fifty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 10939 21878 32817 43756 65634 87512 98451 131268 175024 185963 196902 262536 350048 371926 393804 525072 557889 743852 787608 1050144 1115778 1487704 1575216 1673667 2231556 2975408 3150432 3347334 4463112 5950816 6694668 8926224 13389336 17852448 26778672 53557344