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86760352 = 257409947
BaseRepresentation
bin1010010101111…
…01101110100000
320001020212211101
411022331232200
5134202312402
612335324144
72102310430
oct512755640
9201225741
1086760352
1144a79378
1225080654
1314c894b3
14b7462c0
15793bb87
hex52bdba0

86760352 has 48 divisors (see below), whose sum is σ = 195894720. Its totient is φ = 37052928.

The previous prime is 86760343. The next prime is 86760371. The reversal of 86760352 is 25306768.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 91143 + ... + 92089.

It is an arithmetic number, because the mean of its divisors is an integer number (4081140).

Almost surely, 286760352 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 86760352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97947360).

86760352 is an abundant number, since it is smaller than the sum of its proper divisors (109134368).

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

86760352 is a wasteful number, since it uses less digits than its factorization.

86760352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1373 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 86760352 is about 9314.5237129979. The cubic root of 86760352 is about 442.6975329681.

The spelling of 86760352 in words is "eighty-six million, seven hundred sixty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 409 818 947 1636 1894 2863 3272 3788 5726 6544 6629 7576 11452 13088 13258 15152 22904 26516 30304 45808 53032 91616 106064 212128 387323 774646 1549292 2711261 3098584 5422522 6197168 10845044 12394336 21690088 43380176 86760352