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73063296 = 273929
BaseRepresentation
bin1000101101011…
…01101110000000
312002111000000000
410112231232000
5122201011141
611130000000
71545012345
oct426555600
9162430000
1073063296
1138273599
1220576000
13121a1c27
1499bc7cc
1566335b6
hex45adb80

73063296 has 160 divisors (see below), whose sum is σ = 225858600. Its totient is φ = 23514624.

The previous prime is 73063273. The next prime is 73063327. The reversal of 73063296 is 69236037.

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 73063296.

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, 2519410 + ... + 2519438.

Almost surely, 273063296 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 73063296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112929300).

73063296 is an abundant number, since it is smaller than the sum of its proper divisors (152795304).

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

73063296 is an frugal number, since it uses more digits than its factorization.

73063296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 73063296 is about 8547.7070609609. The cubic root of 73063296 is about 418.0546771878.

The spelling of 73063296 in words is "seventy-three million, sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 81 87 96 108 116 128 144 162 174 192 216 232 243 261 288 324 348 384 432 464 486 522 576 648 696 729 783 864 928 972 1044 1152 1296 1392 1458 1566 1728 1856 1944 2088 2187 2349 2592 2784 2916 3132 3456 3712 3888 4176 4374 4698 5184 5568 5832 6264 6561 7047 7776 8352 8748 9396 10368 11136 11664 12528 13122 14094 15552 16704 17496 18792 19683 21141 23328 25056 26244 28188 31104 33408 34992 37584 39366 42282 46656 50112 52488 56376 63423 69984 75168 78732 84564 93312 100224 104976 112752 126846 139968 150336 157464 169128 190269 209952 225504 253692 279936 300672 314928 338256 380538 419904 451008 507384 570807 629856 676512 761076 839808 902016 1014768 1141614 1259712 1353024 1522152 2029536 2283228 2519424 2706048 3044304 4059072 4566456 6088608 8118144 9132912 12177216 18265824 24354432 36531648 73063296