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73679085 = 3351793049
BaseRepresentation
bin1000110010001…
…00000011101101
312010122021201000
410121010003231
5122330212320
611151110513
71553155554
oct431040355
9163567630
1073679085
1138654207
1220812439
13123592bc
149adcd9b
156705c90
hex46440ed

73679085 has 32 divisors (see below), whose sum is σ = 131760000. Its totient is φ = 39063168.

The previous prime is 73679083. The next prime is 73679087. The reversal of 73679085 is 58097637.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (73679083) and next prime (73679087).

It is not a de Polignac number, because 73679085 - 21 = 73679083 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 73679085.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73679083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22641 + ... + 25689.

It is an arithmetic number, because the mean of its divisors is an integer number (4117500).

Almost surely, 273679085 is an apocalyptic number.

It is an amenable number.

73679085 is a deficient number, since it is larger than the sum of its proper divisors (58080915).

73679085 is a wasteful number, since it uses less digits than its factorization.

73679085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3242 (or 3236 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 73679085 is about 8583.6521947246. The cubic root of 73679085 is about 419.2258699442.

The spelling of 73679085 in words is "seventy-three million, six hundred seventy-nine thousand, eighty-five".

Divisors: 1 3 5 9 15 27 45 135 179 537 895 1611 2685 3049 4833 8055 9147 15245 24165 27441 45735 82323 137205 411615 545771 1637313 2728855 4911939 8186565 14735817 24559695 73679085