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81679032 = 23321676793
BaseRepresentation
bin1001101111001…
…01001010111000
312200200201120100
410313211022320
5131402212112
612034355400
72011155201
oct467451270
9180621510
1081679032
1142118736
122342bb60
1313bca6b6
14abc25a8
1572862dc
hex4de52b8

81679032 has 48 divisors (see below), whose sum is σ = 222571440. Its totient is φ = 27059328.

The previous prime is 81679021. The next prime is 81679057. The reversal of 81679032 is 23097618.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8628 + ... + 15420.

It is an arithmetic number, because the mean of its divisors is an integer number (4636905).

Almost surely, 281679032 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 81679032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111285720).

81679032 is an abundant number, since it is smaller than the sum of its proper divisors (140892408).

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

81679032 is a wasteful number, since it uses less digits than its factorization.

81679032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6972 (or 6965 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 81679032 is about 9037.6452685420. The cubic root of 81679032 is about 433.8805620352.

The spelling of 81679032 in words is "eighty-one million, six hundred seventy-nine thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 167 334 501 668 1002 1336 1503 2004 3006 4008 6012 6793 12024 13586 20379 27172 40758 54344 61137 81516 122274 163032 244548 489096 1134431 2268862 3403293 4537724 6806586 9075448 10209879 13613172 20419758 27226344 40839516 81679032