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45957590 = 2572711321
BaseRepresentation
bin1010111101010…
…0000111010110
310012110212221222
42233110013112
543231120330
64321010342
71065430100
oct257240726
9105425858
1045957590
1123a3a688
12134839b2
1396a1453
146164570
15407c0e5
hex2bd41d6

45957590 has 48 divisors (see below), whose sum is σ = 97658784. Its totient is φ = 15523200.

The previous prime is 45957581. The next prime is 45957607. The reversal of 45957590 is 9575954.

It is a happy number.

It is a super-2 number, since 2×459575902 = 4224200157216200, which contains 22 as substring.

It is a congruent number.

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, 34130 + ... + 35450.

It is an arithmetic number, because the mean of its divisors is an integer number (2034558).

Almost surely, 245957590 is an apocalyptic number.

45957590 is an abundant number, since it is smaller than the sum of its proper divisors (51701194).

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

45957590 is a wasteful number, since it uses less digits than its factorization.

45957590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 283500, while the sum is 44.

The square root of 45957590 is about 6779.2027554868. The cubic root of 45957590 is about 358.1946394325.

The spelling of 45957590 in words is "forty-five million, nine hundred fifty-seven thousand, five hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 70 71 98 142 245 355 490 497 710 994 1321 2485 2642 3479 4970 6605 6958 9247 13210 17395 18494 34790 46235 64729 92470 93791 129458 187582 323645 468955 647290 656537 937910 1313074 3282685 4595759 6565370 9191518 22978795 45957590