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45682848 = 2532158621
BaseRepresentation
bin1010111001000…
…1000010100000
310011221221002100
42232101002200
543143322343
64311050400
71063204101
oct256210240
9104857070
1045682848
1123872222
1213370a00
139606393
1460d23a8
1540259d3
hex2b910a0

45682848 has 36 divisors (see below), whose sum is σ = 129911418. Its totient is φ = 15227520.

The previous prime is 45682841. The next prime is 45682867. The reversal of 45682848 is 84828654.

45682848 is a `hidden beast` number, since 4 + 568 + 2 + 84 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 44997264 + 685584 = 6708^2 + 828^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×456828482 = 4173845202782208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45682841) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 79023 + ... + 79598.

Almost surely, 245682848 is an apocalyptic number.

45682848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45682848 is an abundant number, since it is smaller than the sum of its proper divisors (84228570).

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

45682848 is a wasteful number, since it uses less digits than its factorization.

45682848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158637 (or 158626 counting only the distinct ones).

The product of its digits is 491520, while the sum is 45.

The square root of 45682848 is about 6758.9087876668. The cubic root of 45682848 is about 357.4794302475.

The spelling of 45682848 in words is "forty-five million, six hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 158621 317242 475863 634484 951726 1268968 1427589 1903452 2537936 2855178 3806904 5075872 5710356 7613808 11420712 15227616 22841424 45682848