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55328976 = 24322231723
BaseRepresentation
bin1101001100010…
…0000011010000
310212010000002100
43103010003100
5103131011401
65253520400
71241200653
oct323040320
9125100070
1055328976
112926052a
1216643100
13b602b51
1474c389a
154ccdb86
hex34c40d0

55328976 has 60 divisors (see below), whose sum is σ = 155628928. Its totient is φ = 18349632.

The previous prime is 55328971. The next prime is 55328983. The reversal of 55328976 is 67982355.

It is a happy number.

55328976 is a `hidden beast` number, since 553 + 2 + 8 + 97 + 6 = 666.

It is a super-2 number, since 2×553289762 = 6122591170417152, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55328971) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31251 + ... + 32973.

Almost surely, 255328976 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 55328976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77814464).

55328976 is an abundant number, since it is smaller than the sum of its proper divisors (100299952).

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

55328976 is a wasteful number, since it uses less digits than its factorization.

55328976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1951 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 55328976 is about 7438.3449772110. The cubic root of 55328976 is about 381.0519696815.

The spelling of 55328976 in words is "fifty-five million, three hundred twenty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 223 446 669 892 1338 1723 1784 2007 2676 3446 3568 4014 5169 5352 6892 8028 10338 10704 13784 15507 16056 20676 27568 31014 32112 41352 62028 82704 124056 248112 384229 768458 1152687 1536916 2305374 3073832 3458061 4610748 6147664 6916122 9221496 13832244 18442992 27664488 55328976