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73897056 = 253331289
BaseRepresentation
bin1000110011110…
…01010001100000
312011001100201000
410121321101200
5122404201211
611155512000
71555054212
oct431712140
9164040630
1073897056
1138792a52
12208b8600
131240458c
149b585b2
15674a656
hex4679460

73897056 has 144 divisors (see below), whose sum is σ = 225212400. Its totient is φ = 23569920.

The previous prime is 73897027. The next prime is 73897063. The reversal of 73897056 is 65079837.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 830260 + ... + 830348.

It is an arithmetic number, because the mean of its divisors is an integer number (1563975).

Almost surely, 273897056 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 73897056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112606200).

73897056 is an abundant number, since it is smaller than the sum of its proper divisors (151315344).

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

73897056 is a wasteful number, since it uses less digits than its factorization.

73897056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 125 counting only the distinct ones).

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

The square root of 73897056 is about 8596.3396861688. The cubic root of 73897056 is about 419.6388732565.

The spelling of 73897056 in words is "seventy-three million, eight hundred ninety-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 89 93 96 108 124 144 178 186 216 248 267 279 288 356 372 432 496 534 558 712 744 801 837 864 961 992 1068 1116 1424 1488 1602 1674 1922 2136 2232 2403 2759 2848 2883 2976 3204 3348 3844 4272 4464 4806 5518 5766 6408 6696 7688 8277 8544 8649 8928 9612 11036 11532 12816 13392 15376 16554 17298 19224 22072 23064 24831 25632 25947 26784 30752 33108 34596 38448 44144 46128 49662 51894 66216 69192 74493 76896 85529 88288 92256 99324 103788 132432 138384 148986 171058 198648 207576 256587 264864 276768 297972 342116 397296 415152 513174 595944 684232 769761 794592 830304 1026348 1191888 1368464 1539522 2052696 2309283 2383776 2736928 3079044 4105392 4618566 6158088 8210784 9237132 12316176 18474264 24632352 36948528 73897056