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80291904 = 2637115431
BaseRepresentation
bin1001100100100…
…10100001000000
312121002020210020
410302102201000
5131023320104
611544533440
71663320120
oct462224100
9177066706
1080291904
1141360550
1222a81280
1313833204
14a940c80
1570b02d9
hex4c92840

80291904 has 112 divisors (see below), whose sum is σ = 264907776. Its totient is φ = 20851200.

The previous prime is 80291863. The next prime is 80291917. The reversal of 80291904 is 40919208.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 12069 + ... + 17499.

It is an arithmetic number, because the mean of its divisors is an integer number (2365248).

Almost surely, 280291904 is an apocalyptic number.

80291904 is a gapful number since it is divisible by the number (84) 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 80291904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132453888).

80291904 is an abundant number, since it is smaller than the sum of its proper divisors (184615872).

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

80291904 is a wasteful number, since it uses less digits than its factorization.

80291904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464 (or 5454 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 80291904 is about 8960.5749815511. The cubic root of 80291904 is about 431.4103753021.

The spelling of 80291904 in words is "eighty million, two hundred ninety-one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 132 154 168 176 192 224 231 264 308 336 352 448 462 528 616 672 704 924 1056 1232 1344 1848 2112 2464 3696 4928 5431 7392 10862 14784 16293 21724 32586 38017 43448 59741 65172 76034 86896 114051 119482 130344 152068 173792 179223 228102 238964 260688 304136 347584 358446 418187 456204 477928 521376 608272 716892 836374 912408 955856 1042752 1216544 1254561 1433784 1672748 1824816 1911712 2433088 2509122 2867568 3345496 3649632 3823424 5018244 5735136 6690992 7299264 10036488 11470272 13381984 20072976 26763968 40145952 80291904