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80729376 = 2537139241
BaseRepresentation
bin1001100111111…
…01010100100000
312121220110212220
410303331110200
5131131320001
612002151040
72000121420
oct463752440
9177813786
1080729376
114162a1a2
1223052480
1313957380
14aa16480
157149c36
hex4cfd520

80729376 has 96 divisors (see below), whose sum is σ = 260846208. Its totient is φ = 21288960.

The previous prime is 80729371. The next prime is 80729387. The reversal of 80729376 is 67392708.

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 not an unprimeable number, because it can be changed into a prime (80729371) 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 15 ways as a sum of consecutive naturals, for example, 4116 + ... + 13356.

It is an arithmetic number, because the mean of its divisors is an integer number (2717148).

Almost surely, 280729376 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 80729376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130423104).

80729376 is an abundant number, since it is smaller than the sum of its proper divisors (180116832).

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

80729376 is a wasteful number, since it uses less digits than its factorization.

80729376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9274 (or 9266 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 80729376 is about 8984.9527544668. The cubic root of 80729376 is about 432.1924725324.

The spelling of 80729376 in words is "eighty million, seven hundred twenty-nine thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 78 84 91 96 104 112 156 168 182 208 224 273 312 336 364 416 546 624 672 728 1092 1248 1456 2184 2912 4368 8736 9241 18482 27723 36964 55446 64687 73928 110892 120133 129374 147856 194061 221784 240266 258748 295712 360399 388122 443568 480532 517496 720798 776244 840931 887136 961064 1034992 1441596 1552488 1681862 1922128 2069984 2522793 2883192 3104976 3363724 3844256 5045586 5766384 6209952 6727448 10091172 11532768 13454896 20182344 26909792 40364688 80729376