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55537152 = 2931119173
BaseRepresentation
bin1101001111011…
…0111000000000
310212111120122120
43103312320000
5103204142102
65302204240
71243025616
oct323667000
9125446576
1055537152
1129392980
1216723680
13b676828
1475396b6
154d206bc
hex34f6e00

55537152 has 160 divisors (see below), whose sum is σ = 170881920. Its totient is φ = 15851520.

The previous prime is 55537129. The next prime is 55537169. The reversal of 55537152 is 25173555.

It is a super-2 number, since 2×555371522 = 6168750504542208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 320938 + ... + 321110.

It is an arithmetic number, because the mean of its divisors is an integer number (1068012).

Almost surely, 255537152 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 55537152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85440960).

55537152 is an abundant number, since it is smaller than the sum of its proper divisors (115344768).

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

55537152 is a wasteful number, since it uses less digits than its factorization.

55537152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its digits is 26250, while the sum is 33.

The square root of 55537152 is about 7452.3252747045. The cubic root of 55537152 is about 381.5292759068.

The spelling of 55537152 in words is "fifty-five million, five hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 32 33 38 44 48 57 64 66 76 88 96 114 128 132 152 173 176 192 209 228 256 264 304 346 352 384 418 456 512 519 528 608 627 692 704 768 836 912 1038 1056 1216 1254 1384 1408 1536 1672 1824 1903 2076 2112 2432 2508 2768 2816 3287 3344 3648 3806 4152 4224 4864 5016 5536 5632 5709 6574 6688 7296 7612 8304 8448 9728 9861 10032 11072 11418 13148 13376 14592 15224 16608 16896 19722 20064 22144 22836 26296 26752 29184 30448 33216 36157 39444 40128 44288 45672 52592 53504 60896 66432 72314 78888 80256 88576 91344 105184 107008 108471 121792 132864 144628 157776 160512 182688 210368 216942 243584 265728 289256 315552 321024 365376 420736 433884 487168 578512 631104 730752 841472 867768 974336 1157024 1262208 1461504 1682944 1735536 2314048 2524416 2923008 3471072 4628096 5048832 6942144 9256192 13884288 18512384 27768576 55537152