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73263696 = 243111967109
BaseRepresentation
bin1000101110111…
…10101001010000
312002212011220020
410113132221100
5122223414241
611134143440
71546505532
oct427365120
9162764806
1073263696
11383a0110
1220651b80
13122421cc
149a31852
156672b66
hex45dea50

73263696 has 160 divisors (see below), whose sum is σ = 222604800. Its totient is φ = 20528640.

The previous prime is 73263691. The next prime is 73263713. The reversal of 73263696 is 69636237.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (73263691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 672090 + ... + 672198.

It is an arithmetic number, because the mean of its divisors is an integer number (1391280).

Almost surely, 273263696 is an apocalyptic number.

73263696 is a gapful number since it is divisible by the number (76) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73263696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111302400).

73263696 is an abundant number, since it is smaller than the sum of its proper divisors (149341104).

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

73263696 is a wasteful number, since it uses less digits than its factorization.

73263696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 211 counting only the distinct ones).

The product of its digits is 244944, while the sum is 42.

The square root of 73263696 is about 8559.4214757774. The cubic root of 73263696 is about 418.4365455223.

The spelling of 73263696 in words is "seventy-three million, two hundred sixty-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 67 76 88 109 114 132 134 152 176 201 209 218 228 264 268 304 327 402 418 436 456 528 536 627 654 737 804 836 872 912 1072 1199 1254 1273 1308 1474 1608 1672 1744 2071 2211 2398 2508 2546 2616 2948 3216 3344 3597 3819 4142 4422 4796 5016 5092 5232 5896 6213 7194 7303 7638 8284 8844 9592 10032 10184 11792 12426 14003 14388 14606 15276 16568 17688 19184 20368 21909 22781 24852 28006 28776 29212 30552 33136 35376 42009 43818 45562 49704 56012 57552 58424 61104 68343 80333 84018 87636 91124 99408 112024 116848 136686 138757 160666 168036 175272 182248 224048 240999 273372 277514 321332 336072 350544 364496 416271 481998 546744 555028 642664 672144 832542 963996 1093488 1110056 1285328 1526327 1665084 1927992 2220112 3052654 3330168 3855984 4578981 6105308 6660336 9157962 12210616 18315924 24421232 36631848 73263696