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55545056 = 2571931421
BaseRepresentation
bin1101001111100…
…0110011100000
310212111222111022
43103320303200
5103204420211
65302305012
71243060640
oct323706340
9125458438
1055545056
1129398906
1216728168
13b67a2c8
14753c520
154d22bdb
hex34f8ce0

55545056 has 96 divisors (see below), whose sum is σ = 136120320. Its totient is φ = 21772800.

The previous prime is 55545031. The next prime is 55545067. The reversal of 55545056 is 65054555.

55545056 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 131726 + ... + 132146.

It is an arithmetic number, because the mean of its divisors is an integer number (1417920).

Almost surely, 255545056 is an apocalyptic number.

55545056 is a gapful number since it is divisible by the number (56) 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 55545056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68060160).

55545056 is an abundant number, since it is smaller than the sum of its proper divisors (80575264).

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

55545056 is a wasteful number, since it uses less digits than its factorization.

55545056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 35.

The square root of 55545056 is about 7452.8555601192. The cubic root of 55545056 is about 381.5473746884.

The spelling of 55545056 in words is "fifty-five million, five hundred forty-five thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 19 28 31 32 38 56 62 76 112 124 133 152 217 224 248 266 304 421 434 496 532 589 608 842 868 992 1064 1178 1684 1736 2128 2356 2947 3368 3472 4123 4256 4712 5894 6736 6944 7999 8246 9424 11788 13051 13472 15998 16492 18848 23576 26102 31996 32984 47152 52204 55993 63992 65968 91357 94304 104408 111986 127984 131936 182714 208816 223972 247969 255968 365428 417632 447944 495938 730856 895888 991876 1461712 1735783 1791776 1983752 2923424 3471566 3967504 6943132 7935008 13886264 27772528 55545056