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55663960 = 23511731733
BaseRepresentation
bin1101010001010…
…1110101011000
310212202000121011
43110111311120
5103222221320
65305023304
71244064412
oct324256530
9125660534
1055663960
112946a180
1216784b34
13b6bc471
14756d9b2
154d4805a
hex3515d58

55663960 has 64 divisors (see below), whose sum is σ = 138581280. Its totient is φ = 19952640.

The previous prime is 55663921. The next prime is 55663987. The reversal of 55663960 is 6936655.

55663960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

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, 31254 + ... + 32986.

Almost surely, 255663960 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 55663960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69290640).

55663960 is an abundant number, since it is smaller than the sum of its proper divisors (82917320).

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

55663960 is a wasteful number, since it uses less digits than its factorization.

55663960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1828 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 40.

The square root of 55663960 is about 7460.8283722386. The cubic root of 55663960 is about 381.8194371566.

It can be divided in two parts, 556 and 63960, that added together give a square (64516 = 2542).

The spelling of 55663960 in words is "fifty-five million, six hundred sixty-three thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 1733 2920 3212 3466 4015 6424 6932 8030 8665 13864 16060 17330 19063 32120 34660 38126 69320 76252 95315 126509 152504 190630 253018 381260 506036 632545 762520 1012072 1265090 1391599 2530180 2783198 5060360 5566396 6957995 11132792 13915990 27831980 55663960