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45957348 = 22331812351
BaseRepresentation
bin1010111101010…
…0000011100100
310012110212122000
42233110003210
543231113343
64321005300
71065426303
oct257240344
9105425560
1045957348
1123a3a488
1213483830
1396a12c8
14616443a
15407bed3
hex2bd40e4

45957348 has 48 divisors (see below), whose sum is σ = 119857920. Its totient is φ = 15228000.

The previous prime is 45957337. The next prime is 45957389. The reversal of 45957348 is 84375954.

It is a super-2 number, since 2×459573482 = 4224155670386208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18373 + ... + 20723.

It is an arithmetic number, because the mean of its divisors is an integer number (2497040).

Almost surely, 245957348 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 45957348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59928960).

45957348 is an abundant number, since it is smaller than the sum of its proper divisors (73900572).

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

45957348 is a wasteful number, since it uses less digits than its factorization.

45957348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2545 (or 2537 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 45957348 is about 6779.1849067569. The cubic root of 45957348 is about 358.1940107133.

The spelling of 45957348 in words is "forty-five million, nine hundred fifty-seven thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 724 1086 1629 2172 2351 3258 4702 4887 6516 7053 9404 9774 14106 19548 21159 28212 42318 63477 84636 126954 253908 425531 851062 1276593 1702124 2553186 3829779 5106372 7659558 11489337 15319116 22978674 45957348