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86008392 = 2335151293
BaseRepresentation
bin1010010000001…
…10001001001000
312222211200100000
411020012021020
5134004232032
612311243000
72063026221
oct510061110
9188750300
1086008392
1144605418
1224979460
1314a85152
14b5cc248
15783de7c
hex5206248

86008392 has 96 divisors (see below), whose sum is σ = 243996480. Its totient is φ = 28382400.

The previous prime is 86008367. The next prime is 86008411. The reversal of 86008392 is 29380068.

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 23 ways as a sum of consecutive naturals, for example, 293398 + ... + 293690.

It is an arithmetic number, because the mean of its divisors is an integer number (2541630).

Almost surely, 286008392 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 86008392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121998240).

86008392 is an abundant number, since it is smaller than the sum of its proper divisors (157988088).

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

86008392 is a wasteful number, since it uses less digits than its factorization.

86008392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 86008392 is about 9274.0709507745. The cubic root of 86008392 is about 441.4148532693.

The spelling of 86008392 in words is "eighty-six million, eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 151 162 216 243 293 302 324 453 486 586 604 648 879 906 972 1172 1208 1359 1758 1812 1944 2344 2637 2718 3516 3624 4077 5274 5436 7032 7911 8154 10548 10872 12231 15822 16308 21096 23733 24462 31644 32616 36693 44243 47466 48924 63288 71199 73386 88486 94932 97848 132729 142398 146772 176972 189864 265458 284796 293544 353944 398187 530916 569592 796374 1061832 1194561 1592748 2389122 3185496 3583683 4778244 7167366 9556488 10751049 14334732 21502098 28669464 43004196 86008392