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80396874 = 23429109157
BaseRepresentation
bin1001100101011…
…00001001001010
312121021120210000
410302230021022
5131040144444
611551103430
71664235135
oct462541112
9177246700
1080396874
11414223a8
1222b11b76
131386bc1c
14a96b21c
1570d1469
hex4cac24a

80396874 has 80 divisors (see below), whose sum is σ = 189268200. Its totient is φ = 25474176.

The previous prime is 80396873. The next prime is 80396879. The reversal of 80396874 is 47869308.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 69006249 + 11390625 = 8307^2 + 3375^2 .

It is not an unprimeable number, because it can be changed into a prime (80396873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 512004 + ... + 512160.

Almost surely, 280396874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80396874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94634100).

80396874 is an abundant number, since it is smaller than the sum of its proper divisors (108871326).

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

80396874 is a wasteful number, since it uses less digits than its factorization.

80396874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 80396874 is about 8966.4303934174. The cubic root of 80396874 is about 431.5982955638.

The spelling of 80396874 in words is "eighty million, three hundred ninety-six thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 81 87 109 157 162 174 218 261 314 327 471 522 654 783 942 981 1413 1566 1962 2349 2826 2943 3161 4239 4553 4698 5886 6322 8478 8829 9106 9483 12717 13659 17113 17658 18966 25434 27318 28449 34226 40977 51339 56898 81954 85347 102678 122931 154017 170694 245862 256041 308034 368793 462051 496277 512082 737586 924102 992554 1386153 1488831 2772306 2977662 4466493 8932986 13399479 26798958 40198437 80396874