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55524352 = 210134397
BaseRepresentation
bin1101001111001…
…1110000000000
310212110221002111
43103303300000
5103203234402
65302025104
71242643402
oct323636000
9125427074
1055524352
11293842a4
1216718194
13b670a60
147534b72
154d1b9d7
hex34f3c00

55524352 has 88 divisors (see below), whose sum is σ = 123573296. Its totient is φ = 24772608.

The previous prime is 55524347. The next prime is 55524353. The reversal of 55524352 is 25342555.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55524353) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 572368 + ... + 572464.

It is an arithmetic number, because the mean of its divisors is an integer number (1404242).

Almost surely, 255524352 is an apocalyptic number.

55524352 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55524352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61786648).

55524352 is an abundant number, since it is smaller than the sum of its proper divisors (68048944).

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

55524352 is a wasteful number, since it uses less digits than its factorization.

55524352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 155 counting only the distinct ones).

The product of its digits is 30000, while the sum is 31.

The square root of 55524352 is about 7451.4664328574. The cubic root of 55524352 is about 381.4999624966.

The spelling of 55524352 in words is "fifty-five million, five hundred twenty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 64 86 97 104 128 172 194 208 256 344 388 416 512 559 688 776 832 1024 1118 1261 1376 1552 1664 2236 2522 2752 3104 3328 4171 4472 5044 5504 6208 6656 8342 8944 10088 11008 12416 13312 16684 17888 20176 22016 24832 33368 35776 40352 44032 49664 54223 66736 71552 80704 99328 108446 133472 143104 161408 216892 266944 286208 322816 433784 533888 572416 645632 867568 1067776 1291264 1735136 2135552 3470272 4271104 6940544 13881088 27762176 55524352