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86372388 = 223222910477
BaseRepresentation
bin1010010010111…
…11000000100100
320000112011122100
411021133000210
5134102404023
612323132100
72066103354
oct511370044
9200464570
1086372388
1144833943
1224b14030
1314b81a2b
14b684b64
1578b1c43
hex525f024

86372388 has 36 divisors (see below), whose sum is σ = 219304540. Its totient is φ = 28662336.

The previous prime is 86372387. The next prime is 86372399. The reversal of 86372388 is 88327368.

86372388 is a `hidden beast` number, since 8 + 637 + 2 + 3 + 8 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 73925604 + 12446784 = 8598^2 + 3528^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (86372381) 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 11 ways as a sum of consecutive naturals, for example, 3006 + ... + 13482.

Almost surely, 286372388 is an apocalyptic number.

It is an amenable number.

86372388 is an abundant number, since it is smaller than the sum of its proper divisors (132932152).

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

86372388 is a wasteful number, since it uses less digits than its factorization.

86372388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10716 (or 10711 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 86372388 is about 9293.6746230972. The cubic root of 86372388 is about 442.0366806165.

It can be divided in two parts, 8637 and 2388, that added together give a square (11025 = 1052).

The spelling of 86372388 in words is "eighty-six million, three hundred seventy-two thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 229 458 687 916 1374 2061 2748 4122 8244 10477 20954 31431 41908 62862 94293 125724 188586 377172 2399233 4798466 7197699 9596932 14395398 21593097 28790796 43186194 86372388