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55988976 = 24331191197
BaseRepresentation
bin1101010110010…
…1001011110000
310220100112102210
43111211023300
5103313121401
65320012120
71246620111
oct325451360
9126315383
1055988976
112967138a
1216901040
13b7a4394
147616208
154dae4d6
hex35652f0

55988976 has 80 divisors (see below), whose sum is σ = 150847488. Its totient is φ = 17875200.

The previous prime is 55988963. The next prime is 55989001. The reversal of 55988976 is 67988955.

55988976 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, 284110 + ... + 284306.

Almost surely, 255988976 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 55988976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75423744).

55988976 is an abundant number, since it is smaller than the sum of its proper divisors (94858512).

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

55988976 is a wasteful number, since it uses less digits than its factorization.

55988976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 57.

The square root of 55988976 is about 7482.5781653117. The cubic root of 55988976 is about 382.5611299625.

The spelling of 55988976 in words is "fifty-five million, nine hundred eighty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 191 197 248 372 382 394 496 573 591 744 764 788 1146 1182 1488 1528 1576 2292 2364 3056 3152 4584 4728 5921 6107 9168 9456 11842 12214 17763 18321 23684 24428 35526 36642 37627 47368 48856 71052 73284 75254 94736 97712 112881 142104 146568 150508 225762 284208 293136 301016 451524 602032 903048 1166437 1806096 2332874 3499311 4665748 6998622 9331496 13997244 18662992 27994488 55988976