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87293448 = 233211195801
BaseRepresentation
bin1010011001111…
…11111000001000
320002020222002200
411030333320020
5134321342243
612355000200
72106660564
oct514777010
9202228080
1087293448
1145302950
1225299060
1315115038
14b8446a4
1579e4ad3
hex533fe08

87293448 has 96 divisors (see below), whose sum is σ = 271533600. Its totient is φ = 25056000.

The previous prime is 87293411. The next prime is 87293449. The reversal of 87293448 is 84439278.

It is not an unprimeable number, because it can be changed into a prime (87293449) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12148 + ... + 17948.

It is an arithmetic number, because the mean of its divisors is an integer number (2828475).

Almost surely, 287293448 is an apocalyptic number.

87293448 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87293448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135766800).

87293448 is an abundant number, since it is smaller than the sum of its proper divisors (184240152).

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

87293448 is a wasteful number, since it uses less digits than its factorization.

87293448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5843 (or 5836 counting only the distinct ones).

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

The square root of 87293448 is about 9343.0962747903. The cubic root of 87293448 is about 443.6023954492.

The spelling of 87293448 in words is "eighty-seven million, two hundred ninety-three thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 2508 3762 5016 5801 7524 11602 15048 17403 23204 34806 46408 52209 63811 69612 104418 110219 127622 139224 191433 208836 220438 255244 330657 382866 417672 440876 510488 574299 661314 765732 881752 991971 1148598 1212409 1322628 1531464 1983942 2297196 2424818 2645256 3637227 3967884 4594392 4849636 7274454 7935768 9699272 10911681 14548908 21823362 29097816 43646724 87293448