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86387392 = 2672132163
BaseRepresentation
bin1010010011000…
…10101011000000
320000112221020001
411021202223000
5134103344032
612323325344
72066165200
oct511425300
9200487201
1086387392
1144844143
1224b20854
1314b88800
14b68a400
1578b63e7
hex5262ac0

86387392 has 126 divisors (see below), whose sum is σ = 217256868. Its totient is φ = 33965568.

The previous prime is 86387383. The next prime is 86387401. The reversal of 86387392 is 29378368.

It is an interprime number because it is at equal distance from previous prime (86387383) and next prime (86387401).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 529903 + ... + 530065.

Almost surely, 286387392 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 86387392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108628434).

86387392 is an abundant number, since it is smaller than the sum of its proper divisors (130869476).

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

86387392 is a wasteful number, since it uses less digits than its factorization.

86387392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 185 counting only the distinct ones).

The product of its digits is 435456, while the sum is 46.

The square root of 86387392 is about 9294.4818037371. The cubic root of 86387392 is about 442.0622749625.

The spelling of 86387392 in words is "eighty-six million, three hundred eighty-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 163 169 182 196 208 224 326 338 364 392 416 448 637 652 676 728 784 832 1141 1183 1274 1304 1352 1456 1568 2119 2282 2366 2548 2608 2704 2912 3136 4238 4564 4732 5096 5216 5408 5824 7987 8281 8476 9128 9464 10192 10432 10816 14833 15974 16562 16952 18256 18928 20384 27547 29666 31948 33124 33904 36512 37856 40768 55094 59332 63896 66248 67808 73024 75712 103831 110188 118664 127792 132496 135616 192829 207662 220376 237328 255584 264992 385658 415324 440752 474656 511168 529984 771316 830648 881504 949312 1349803 1542632 1661296 1763008 2699606 3085264 3322592 5399212 6170528 6645184 10798424 12341056 21596848 43193696 86387392