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73465056 = 253474049
BaseRepresentation
bin1000110000011…
…11110011100000
312010020102010000
410120033303200
5122301340211
611142340000
71551304560
oct430176340
9163212100
1073465056
1138518425
122072a600
13122b2a62
149a84da0
1566b2656
hex460fce0

73465056 has 120 divisors (see below), whose sum is σ = 246985200. Its totient is φ = 20984832.

The previous prime is 73465037. The next prime is 73465061. The reversal of 73465056 is 65056437.

It is a super-2 number, since 2×734650562 = 10794228906166272, which contains 22 as substring.

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 73465056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16120 + ... + 20168.

It is an arithmetic number, because the mean of its divisors is an integer number (2058210).

Almost surely, 273465056 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 73465056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123492600).

73465056 is an abundant number, since it is smaller than the sum of its proper divisors (173520144).

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

73465056 is a wasteful number, since it uses less digits than its factorization.

73465056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4078 (or 4061 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 73465056 is about 8571.1758819896. The cubic root of 73465056 is about 418.8195424416.

The spelling of 73465056 in words is "seventy-three million, four hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 252 288 324 336 378 432 504 567 648 672 756 864 1008 1134 1296 1512 2016 2268 2592 3024 4049 4536 6048 8098 9072 12147 16196 18144 24294 28343 32392 36441 48588 56686 64784 72882 85029 97176 109323 113372 129568 145764 170058 194352 218646 226744 255087 291528 327969 340116 388704 437292 453488 510174 583056 655938 680232 765261 874584 906976 1020348 1166112 1311876 1360464 1530522 1749168 2040696 2295783 2623752 2720928 3061044 3498336 4081392 4591566 5247504 6122088 8162784 9183132 10495008 12244176 18366264 24488352 36732528 73465056