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45966040 = 2351149151
BaseRepresentation
bin1010111101011…
…0001011011000
310012111022112221
42233112023120
543231403130
64321113424
71065463531
oct257261330
9105438487
1045966040
1123a45a6a
1213488874
1396a5253
146167688
15407e87a
hex2bd62d8

45966040 has 16 divisors (see below), whose sum is σ = 103423680. Its totient is φ = 18386400.

The previous prime is 45966031. The next prime is 45966059. The reversal of 45966040 is 4066954.

It is a super-2 number, since 2×459660402 = 4225753666563200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45965987 and 45966005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 574536 + ... + 574615.

It is an arithmetic number, because the mean of its divisors is an integer number (6463980).

Almost surely, 245966040 is an apocalyptic number.

45966040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45966040 is an abundant number, since it is smaller than the sum of its proper divisors (57457640).

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

45966040 is a wasteful number, since it uses less digits than its factorization.

45966040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1149162 (or 1149158 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 34.

The square root of 45966040 is about 6779.8259564682. The cubic root of 45966040 is about 358.2165912596.

The spelling of 45966040 in words is "forty-five million, nine hundred sixty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 1149151 2298302 4596604 5745755 9193208 11491510 22983020 45966040