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55152576 = 263410639
BaseRepresentation
bin1101001001100…
…0111111000000
310211210001010000
43102120333000
5103104340301
65250040000
71236534453
oct322307700
9124701100
1055152576
112914aa46
1216579000
13b57077b
14747949a
154c96786
hex3498fc0

55152576 has 70 divisors (see below), whose sum is σ = 163504880. Its totient is φ = 18382464.

The previous prime is 55152571. The next prime is 55152593. The reversal of 55152576 is 67525155.

It is a happy number.

55152576 is a `hidden beast` number, since 551 + 52 + 57 + 6 = 666.

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 55152576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55152571) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 136 + ... + 10503.

It is an arithmetic number, because the mean of its divisors is an integer number (2335784).

Almost surely, 255152576 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 55152576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81752440).

55152576 is an abundant number, since it is smaller than the sum of its proper divisors (108352304).

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

55152576 is a wasteful number, since it uses less digits than its factorization.

55152576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10663 (or 10644 counting only the distinct ones).

The product of its digits is 52500, while the sum is 36.

The square root of 55152576 is about 7426.4780347080. The cubic root of 55152576 is about 380.6465815616.

The spelling of 55152576 in words is "fifty-five million, one hundred fifty-two thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 10639 21278 31917 42556 63834 85112 95751 127668 170224 191502 255336 287253 340448 383004 510672 574506 680896 766008 861759 1021344 1149012 1532016 1723518 2042688 2298024 3064032 3447036 4596048 6128064 6894072 9192096 13788144 18384192 27576288 55152576