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55531872 = 2533115843
BaseRepresentation
bin1101001111010…
…1100101100000
310212111022102000
43103311211200
5103204004442
65302124000
71243004334
oct323654540
9125438360
1055531872
1129389a10
1216720600
13b6742c6
1475377c4
154d1dd4c
hex34f5960

55531872 has 96 divisors (see below), whose sum is σ = 176722560. Its totient is φ = 16824960.

The previous prime is 55531859. The next prime is 55531891. The reversal of 55531872 is 27813555.

55531872 is a `hidden beast` number, since 55 + 531 + 8 + 72 = 666.

55531872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6583 + ... + 12425.

It is an arithmetic number, because the mean of its divisors is an integer number (1840860).

Almost surely, 255531872 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 55531872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88361280).

55531872 is an abundant number, since it is smaller than the sum of its proper divisors (121190688).

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

55531872 is a wasteful number, since it uses less digits than its factorization.

55531872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5873 (or 5859 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 55531872 is about 7451.9710144364. The cubic root of 55531872 is about 381.5171846709.

The spelling of 55531872 in words is "fifty-five million, five hundred thirty-one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 5843 9504 11686 17529 23372 35058 46744 52587 64273 70116 93488 105174 128546 140232 157761 186976 192819 210348 257092 280464 315522 385638 420696 514184 560928 578457 631044 771276 841392 1028368 1156914 1262088 1542552 1682784 1735371 2056736 2313828 2524176 3085104 3470742 4627656 5048352 6170208 6941484 9255312 13882968 18510624 27765936 55531872