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54576072 = 2333252667
BaseRepresentation
bin1101000000110…
…0001111001000
310210200202022000
43100030033020
5102432413242
65225431000
71231613625
oct320141710
9123622260
1054576072
11288968a1
121633b460
13b3cb245
14736934c
154bd0a4c
hex340c3c8

54576072 has 32 divisors (see below), whose sum is σ = 151600800. Its totient is φ = 18191952.

The previous prime is 54576059. The next prime is 54576077. The reversal of 54576072 is 27067545.

54576072 is a `hidden beast` number, since 5 + 45 + 7 + 607 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (54576077) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 126118 + ... + 126549.

It is an arithmetic number, because the mean of its divisors is an integer number (4737525).

Almost surely, 254576072 is an apocalyptic number.

It is an amenable number.

54576072 is an abundant number, since it is smaller than the sum of its proper divisors (97024728).

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

54576072 is a wasteful number, since it uses less digits than its factorization.

54576072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252682 (or 252672 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 54576072 is about 7387.5619794354. The cubic root of 54576072 is about 379.3156473096.

The spelling of 54576072 in words is "fifty-four million, five hundred seventy-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 252667 505334 758001 1010668 1516002 2021336 2274003 3032004 4548006 6064008 6822009 9096012 13644018 18192024 27288036 54576072