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80691552 = 25371153
BaseRepresentation
bin1001100111101…
…00000101100000
312121211120000000
410303310011200
5131124112202
612001300000
71666603224
oct463640540
9177746000
1080691552
1141603837
1223034600
13139430a6
14aa06784
15713d91c
hex4cf4160

80691552 has 96 divisors (see below), whose sum is σ = 238462560. Its totient is φ = 26873856.

The previous prime is 80691551. The next prime is 80691557. The reversal of 80691552 is 25519608.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×806915522 = 13022253128337408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80691551) 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 15 ways as a sum of consecutive naturals, for example, 69408 + ... + 70560.

It is an arithmetic number, because the mean of its divisors is an integer number (2483985).

Almost surely, 280691552 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 80691552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119231280).

80691552 is an abundant number, since it is smaller than the sum of its proper divisors (157771008).

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

80691552 is an equidigital number, since it uses as much as digits as its factorization.

80691552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1184 (or 1158 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 80691552 is about 8982.8476553930. The cubic root of 80691552 is about 432.1249638485.

The spelling of 80691552 in words is "eighty million, six hundred ninety-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1153 1296 1458 1944 2187 2306 2592 2916 3459 3888 4374 4612 5832 6918 7776 8748 9224 10377 11664 13836 17496 18448 20754 23328 27672 31131 34992 36896 41508 55344 62262 69984 83016 93393 110688 124524 166032 186786 249048 280179 332064 373572 498096 560358 747144 840537 996192 1120716 1494288 1681074 2241432 2521611 2988576 3362148 4482864 5043222 6724296 8965728 10086444 13448592 20172888 26897184 40345776 80691552