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73056816 = 243478053
BaseRepresentation
bin1000101101011…
…00001000110000
312002110200010000
410112230020300
5122200304231
611125510000
71544654430
oct426541060
9162420100
1073056816
1138269738
1220572300
131219bcb1
1499ba2c0
1566316e6
hex45ac230

73056816 has 100 divisors (see below), whose sum is σ = 241684432. Its totient is φ = 20870784.

The previous prime is 73056791. The next prime is 73056821. The reversal of 73056816 is 61865037.

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

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, 5046 + ... + 13098.

Almost surely, 273056816 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 73056816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120842216).

73056816 is an abundant number, since it is smaller than the sum of its proper divisors (168627616).

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

73056816 is a wasteful number, since it uses less digits than its factorization.

73056816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8080 (or 8065 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 73056816 is about 8547.3280035342. The cubic root of 73056816 is about 418.0423177016.

The spelling of 73056816 in words is "seventy-three million, fifty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 4536 8053 9072 16106 24159 32212 48318 56371 64424 72477 96636 112742 128848 144954 169113 193272 217431 225484 289908 338226 386544 434862 450968 507339 579816 652293 676452 869724 901936 1014678 1159632 1304586 1352904 1522017 1739448 2029356 2609172 2705808 3044034 3478896 4058712 4566051 5218344 6088068 8117424 9132102 10436688 12176136 18264204 24352272 36528408 73056816