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55116576 = 2532211907
BaseRepresentation
bin1101001001000…
…0001100100000
310211201012201200
43102100030200
5103102212301
65245201200
71236324504
oct322201440
9124635650
1055116576
1129125999
1216560200
13b55a278
14746a304
154c8ac86
hex3490320

55116576 has 72 divisors (see below), whose sum is σ = 157654224. Its totient is φ = 18264960.

The previous prime is 55116563. The next prime is 55116653. The reversal of 55116576 is 67561155.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55116576.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60315 + ... + 61221.

It is an arithmetic number, because the mean of its divisors is an integer number (2189642).

Almost surely, 255116576 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 55116576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78827112).

55116576 is an abundant number, since it is smaller than the sum of its proper divisors (102537648).

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

55116576 is a wasteful number, since it uses less digits than its factorization.

55116576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1134 (or 1123 counting only the distinct ones).

The product of its digits is 31500, while the sum is 36.

The square root of 55116576 is about 7424.0538791148. The cubic root of 55116576 is about 380.5637431248.

The spelling of 55116576 in words is "fifty-five million, one hundred sixteen thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 211 288 422 633 844 907 1266 1688 1814 1899 2532 2721 3376 3628 3798 5064 5442 6752 7256 7596 8163 10128 10884 14512 15192 16326 20256 21768 29024 30384 32652 43536 60768 65304 87072 130608 191377 261216 382754 574131 765508 1148262 1531016 1722393 2296524 3062032 3444786 4593048 6124064 6889572 9186096 13779144 18372192 27558288 55116576