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80725736 = 2373133173
BaseRepresentation
bin1001100111111…
…00011011101000
312121220021220002
410303330123220
5131131210421
612002122132
72000105000
oct463743350
9177807802
1080725736
1141627493
1223050348
1313955810
14aa15000
157148b0b
hex4cfc6e8

80725736 has 128 divisors (see below), whose sum is σ = 198912000. Its totient is φ = 30481920.

The previous prime is 80725703. The next prime is 80725769. The reversal of 80725736 is 63752708.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (80725703) and next prime (80725769).

It is a self number, because there is not a number n which added to its sum of digits gives 80725736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1105796 + ... + 1105868.

It is an arithmetic number, because the mean of its divisors is an integer number (1554000).

Almost surely, 280725736 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 80725736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99456000).

80725736 is an abundant number, since it is smaller than the sum of its proper divisors (118186264).

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

80725736 is a wasteful number, since it uses less digits than its factorization.

80725736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 80725736 is about 8984.7501912964. The cubic root of 80725736 is about 432.1859767382.

The spelling of 80725736 in words is "eighty million, seven hundred twenty-five thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 26 28 31 49 52 56 62 73 91 98 104 124 146 182 196 217 248 292 343 364 392 403 434 511 584 637 686 728 806 868 949 1022 1274 1372 1519 1612 1736 1898 2044 2263 2548 2744 2821 3038 3224 3577 3796 4088 4459 4526 5096 5642 6076 6643 7154 7592 8918 9052 10633 11284 12152 13286 14308 15841 17836 18104 19747 21266 22568 25039 26572 28616 29419 31682 35672 39494 42532 46501 50078 53144 58838 63364 78988 85064 93002 100156 110887 117676 126728 138229 157976 186004 200312 205933 221774 235352 276458 325507 372008 411866 443548 552916 651014 776209 823732 887096 1105832 1302028 1441531 1552418 1647464 2604056 2883062 3104836 5766124 6209672 10090717 11532248 20181434 40362868 80725736