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80075688 = 23371143331
BaseRepresentation
bin1001100010111…
…01101110101000
312120200021012020
410301131232220
5130444410223
611540144440
71661426550
oct461355650
9176607166
1080075688
1141223060
1222998120
1313788984
14a8c6160
15706b1e3
hex4c5dba8

80075688 has 64 divisors (see below), whose sum is σ = 249592320. Its totient is φ = 20798400.

The previous prime is 80075687. The next prime is 80075693. The reversal of 80075688 is 88657008.

It is a happy number.

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 (80075687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19818 + ... + 23513.

It is an arithmetic number, because the mean of its divisors is an integer number (3899880).

Almost surely, 280075688 is an apocalyptic number.

80075688 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

80075688 is an abundant number, since it is smaller than the sum of its proper divisors (169516632).

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

80075688 is a wasteful number, since it uses less digits than its factorization.

80075688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43358 (or 43354 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 42.

The square root of 80075688 is about 8948.5019975413. The cubic root of 80075688 is about 431.0227825519.

It can be divided in two parts, 8007 and 5688, that added together give a triangular number (13695 = T165).

The spelling of 80075688 in words is "eighty million, seventy-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 77 84 88 132 154 168 231 264 308 462 616 924 1848 43331 86662 129993 173324 259986 303317 346648 476641 519972 606634 909951 953282 1039944 1213268 1429923 1819902 1906564 2426536 2859846 3336487 3639804 3813128 5719692 6672974 7279608 10009461 11439384 13345948 20018922 26691896 40037844 80075688