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80269728 = 25371110859
BaseRepresentation
bin1001100100011…
…01000110100000
312121001010100220
410302031012200
5131022112403
611544243040
71663165350
oct462150640
9177033326
1080269728
1141345920
1222a70480
13138260a6
14a936b60
1570a8953
hex4c8d1a0

80269728 has 96 divisors (see below), whose sum is σ = 262725120. Its totient is φ = 20847360.

The previous prime is 80269667. The next prime is 80269753. The reversal of 80269728 is 82796208.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 80269728.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1963 + ... + 12821.

It is an arithmetic number, because the mean of its divisors is an integer number (2736720).

Almost surely, 280269728 is an apocalyptic number.

80269728 is a gapful number since it is divisible by the number (88) 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 80269728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131362560).

80269728 is an abundant number, since it is smaller than the sum of its proper divisors (182455392).

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

80269728 is a wasteful number, since it uses less digits than its factorization.

80269728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10890 (or 10882 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The square root of 80269728 is about 8959.3374755057. The cubic root of 80269728 is about 431.3706542472.

The spelling of 80269728 in words is "eighty million, two hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 3696 7392 10859 21718 32577 43436 65154 76013 86872 119449 130308 152026 173744 228039 238898 260616 304052 347488 358347 456078 477796 521232 608104 716694 836143 912156 955592 1042464 1216208 1433388 1672286 1824312 1911184 2432416 2508429 2866776 3344572 3648624 3822368 5016858 5733552 6689144 7297248 10033716 11467104 13378288 20067432 26756576 40134864 80269728