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45942516 = 22326120921
BaseRepresentation
bin1010111101000…
…0011011110100
310012110010021200
42233100123310
543230130031
64320412500
71065335124
oct257203364
9105403250
1045942516
1123a2a324
1213477130
139697629
14615cc84
1540778e6
hex2bd06f4

45942516 has 36 divisors (see below), whose sum is σ = 118041924. Its totient is φ = 15062400.

The previous prime is 45942499. The next prime is 45942521. The reversal of 45942516 is 61524954.

It can be written as a sum of positive squares in 2 ways, for example, as 14470416 + 31472100 = 3804^2 + 5610^2 .

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

It is a super-2 number, since 2×459425162 = 4221429552820512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8265 + ... + 12656.

Almost surely, 245942516 is an apocalyptic number.

It is an amenable number.

45942516 is an abundant number, since it is smaller than the sum of its proper divisors (72099408).

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

45942516 is a wasteful number, since it uses less digits than its factorization.

45942516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20992 (or 20987 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 45942516 is about 6778.0908816569. The cubic root of 45942516 is about 358.1554727686.

The spelling of 45942516 in words is "forty-five million, nine hundred forty-two thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 61 122 183 244 366 549 732 1098 2196 20921 41842 62763 83684 125526 188289 251052 376578 753156 1276181 2552362 3828543 5104724 7657086 11485629 15314172 22971258 45942516