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86332428 = 223271319273
BaseRepresentation
bin1010010010101…
…01010000001100
320000110010211100
411021111100030
5134100114203
612322223100
72065546020
oct511252014
9200403740
1086332428
1144806916
1224ab4a90
1314b697a0
14b674380
1578a4ea3
hex525540c

86332428 has 216 divisors, whose sum is σ = 287353248. Its totient is φ = 21275136.

The previous prime is 86332387. The next prime is 86332439. The reversal of 86332428 is 82423368.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 86332392 and 86332401.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1182600 + ... + 1182672.

Almost surely, 286332428 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 86332428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143676624).

86332428 is an abundant number, since it is smaller than the sum of its proper divisors (201020820).

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

86332428 is a wasteful number, since it uses less digits than its factorization.

86332428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 117 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 86332428 is about 9291.5245250712. The cubic root of 86332428 is about 441.9685009937.

The spelling of 86332428 in words is "eighty-six million, three hundred thirty-two thousand, four hundred twenty-eight".