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248893092 = 223273892539
BaseRepresentation
bin11101101010111…
…00111010100100
3122100100002010200
432311130322210
51002204034332
640410350500
76111361560
oct1665347244
9570302120
10248893092
11118548078
126b42b430
133c745926
14250ac6a0
1516cb617c
hexed5cea4

248893092 has 72 divisors (see below), whose sum is σ = 721156800. Its totient is φ = 70901568.

The previous prime is 248893069. The next prime is 248893121. The reversal of 248893092 is 290398842.

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, 96759 + ... + 99297.

Almost surely, 2248893092 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 248893092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360578400).

248893092 is an abundant number, since it is smaller than the sum of its proper divisors (472263708).

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

248893092 is a wasteful number, since it uses less digits than its factorization.

248893092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2945 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 248893092 is about 15776.3459647664. The cubic root of 248893092 is about 629.0294049137.

The spelling of 248893092 in words is "two hundred forty-eight million, eight hundred ninety-three thousand, ninety-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 389 778 1167 1556 2334 2539 2723 3501 4668 5078 5446 7002 7617 8169 10156 10892 14004 15234 16338 17773 22851 24507 30468 32676 35546 45702 49014 53319 71092 91404 98028 106638 159957 213276 319914 639828 987671 1975342 2963013 3950684 5926026 6913697 8889039 11852052 13827394 17778078 20741091 27654788 35556156 41482182 62223273 82964364 124446546 248893092