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55088832 = 263479599
BaseRepresentation
bin1101001000100…
…1011011000000
310211122210200010
43102021123000
5103100320312
65244424520
71236150561
oct322113300
9124583603
1055088832
1129107067
1216548140
13b54a756
147460168
154c8293c
hex34896c0

55088832 has 56 divisors (see below), whose sum is σ = 146304000. Its totient is φ = 18294016.

The previous prime is 55088821. The next prime is 55088849. The reversal of 55088832 is 23888055.

It is a super-2 number, since 2×550888322 = 6069558822248448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91669 + ... + 92267.

Almost surely, 255088832 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 55088832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73152000).

55088832 is an abundant number, since it is smaller than the sum of its proper divisors (91215168).

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

55088832 is a wasteful number, since it uses less digits than its factorization.

55088832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1093 (or 1083 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 55088832 is about 7422.1851229944. The cubic root of 55088832 is about 380.4998776882.

The spelling of 55088832 in words is "fifty-five million, eighty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 479 599 958 1198 1437 1797 1916 2396 2874 3594 3832 4792 5748 7188 7664 9584 11496 14376 15328 19168 22992 28752 30656 38336 45984 57504 91968 115008 286921 573842 860763 1147684 1721526 2295368 3443052 4590736 6886104 9181472 13772208 18362944 27544416 55088832