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75542112 = 253387433
BaseRepresentation
bin1001000000010…
…10111001100000
312021010221022000
410200022321200
5123314321422
611255044000
71605045252
oct440127140
9167127260
1075542112
11397069a8
1221370600
131285c299
14a065cd2
156972cac
hex480ae60

75542112 has 48 divisors (see below), whose sum is σ = 220333680. Its totient is φ = 25180416.

The previous prime is 75542087. The next prime is 75542153. The reversal of 75542112 is 21124557.

75542112 is a `hidden beast` number, since 7 + 5 + 542 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×755421122 = 11413221370841088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42853 + ... + 44580.

It is an arithmetic number, because the mean of its divisors is an integer number (4590285).

Almost surely, 275542112 is an apocalyptic number.

75542112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

75542112 is an abundant number, since it is smaller than the sum of its proper divisors (144791568).

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

75542112 is a wasteful number, since it uses less digits than its factorization.

75542112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87452 (or 87438 counting only the distinct ones).

The product of its digits is 2800, while the sum is 27.

The square root of 75542112 is about 8691.4965339693. The cubic root of 75542112 is about 422.7299720195.

Adding to 75542112 its reverse (21124557), we get a palindrome (96666669).

The spelling of 75542112 in words is "seventy-five million, five hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 87433 174866 262299 349732 524598 699464 786897 1049196 1398928 1573794 2098392 2360691 2797856 3147588 4196784 4721382 6295176 8393568 9442764 12590352 18885528 25180704 37771056 75542112