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86290248 = 233111917203
BaseRepresentation
bin1010010010010…
…10111101001000
320000100222222010
411021022331020
5134042241443
612321255520
72065312032
oct511127510
9200328863
1086290248
1144788160
1224a945a0
1314b53525
14b662c52
157897733
hex524af48

86290248 has 64 divisors (see below), whose sum is σ = 247737600. Its totient is φ = 24770880.

The previous prime is 86290241. The next prime is 86290271. The reversal of 86290248 is 84209268.

It is not an unprimeable number, because it can be changed into a prime (86290241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3586 + ... + 13617.

It is an arithmetic number, because the mean of its divisors is an integer number (3870900).

Almost surely, 286290248 is an apocalyptic number.

86290248 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

86290248 is an abundant number, since it is smaller than the sum of its proper divisors (161447352).

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

86290248 is a wasteful number, since it uses less digits than its factorization.

86290248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17242 (or 17238 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 86290248 is about 9289.2544372517. The cubic root of 86290248 is about 441.8965107861.

The spelling of 86290248 in words is "eighty-six million, two hundred ninety thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 17203 34406 51609 68812 103218 137624 189233 206436 326857 378466 412872 567699 653714 756932 980571 1135398 1307428 1513864 1961142 2270796 2614856 3595427 3922284 4541592 7190854 7844568 10786281 14381708 21572562 28763416 43145124 86290248