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73542096 = 2432510709
BaseRepresentation
bin1000110001000…
…10100111010000
312010101022210100
410120202213100
5122311321341
611144132400
71552045305
oct430424720
9163338710
1073542096
11385702a1
1220767100
131230bb44
149aa50ac
1566ca3b6
hex46229d0

73542096 has 30 divisors (see below), whose sum is σ = 205816130. Its totient is φ = 24513984.

The previous prime is 73542089. The next prime is 73542101. The reversal of 73542096 is 69024537.

It can be written as a sum of positive squares in only one way, i.e., 60840000 + 12702096 = 7800^2 + 3564^2 .

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 73542096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 255211 + ... + 255498.

Almost surely, 273542096 is an apocalyptic number.

It is an amenable number.

73542096 is an abundant number, since it is smaller than the sum of its proper divisors (132274034).

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

73542096 is a wasteful number, since it uses less digits than its factorization.

73542096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 510723 (or 510714 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 73542096 is about 8575.6688368896. The cubic root of 73542096 is about 418.9658913191.

The spelling of 73542096 in words is "seventy-three million, five hundred forty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 510709 1021418 1532127 2042836 3064254 4085672 4596381 6128508 8171344 9192762 12257016 18385524 24514032 36771048 73542096