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80031672 = 23337411291
BaseRepresentation
bin1001100010100…
…10111110111000
312120121000211000
410301102332320
5130442003142
611535205000
71661154330
oct461227670
9176530730
1080031672
11411a2a86
1222976760
1313771926
14a8b40c0
15705d14c
hex4c52fb8

80031672 has 128 divisors (see below), whose sum is σ = 260467200. Its totient is φ = 22291200.

The previous prime is 80031659. The next prime is 80031683. The reversal of 80031672 is 27613008.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 61347 + ... + 62637.

It is an arithmetic number, because the mean of its divisors is an integer number (2034900).

Almost surely, 280031672 is an apocalyptic number.

80031672 is a gapful number since it is divisible by the number (82) 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 80031672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130233600).

80031672 is an abundant number, since it is smaller than the sum of its proper divisors (180435528).

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

80031672 is a wasteful number, since it uses less digits than its factorization.

80031672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 1344 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 80031672 is about 8946.0422534213. The cubic root of 80031672 is about 430.9437932170.

The spelling of 80031672 in words is "eighty million, thirty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 41 42 54 56 63 72 82 84 108 123 126 164 168 189 216 246 252 287 328 369 378 492 504 574 738 756 861 984 1107 1148 1291 1476 1512 1722 2214 2296 2582 2583 2952 3444 3873 4428 5164 5166 6888 7746 7749 8856 9037 10328 10332 11619 15492 15498 18074 20664 23238 27111 30984 30996 34857 36148 46476 52931 54222 61992 69714 72296 81333 92952 105862 108444 139428 158793 162666 211724 216888 243999 278856 317586 325332 370517 423448 476379 487998 635172 650664 741034 952758 975996 1111551 1270344 1429137 1482068 1905516 1951992 2223102 2858274 2964136 3334653 3811032 4446204 5716548 6669306 8892408 10003959 11433096 13338612 20007918 26677224 40015836 80031672