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45744136 = 232937732
BaseRepresentation
bin1010111010000…
…0000000001000
310012002001011021
42232200000020
543202303021
64312242224
71063550554
oct256400010
9105061137
1045744136
1123904279
12133a0374
139628249
14610a864
154038c41
hex2ba0008

45744136 has 48 divisors (see below), whose sum is σ = 92391300. Its totient is φ = 21192192.

The previous prime is 45744121. The next prime is 45744137. The reversal of 45744136 is 63144754.

It can be written as a sum of positive squares in 6 ways, for example, as 36072036 + 9672100 = 6006^2 + 3110^2 .

It is not an unprimeable number, because it can be changed into a prime (45744137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 626596 + ... + 626668.

Almost surely, 245744136 is an apocalyptic number.

It is an amenable number.

45744136 is an abundant number, since it is smaller than the sum of its proper divisors (46647164).

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

45744136 is a wasteful number, since it uses less digits than its factorization.

45744136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 141 counting only the distinct ones).

The product of its digits is 40320, while the sum is 34.

The square root of 45744136 is about 6763.4411359899. The cubic root of 45744136 is about 357.6392233267.

The spelling of 45744136 in words is "forty-five million, seven hundred forty-four thousand, one hundred thirty-six".

Divisors: 1 2 4 8 29 37 58 73 74 116 146 148 232 292 296 584 1073 2117 2146 2701 4234 4292 5329 5402 8468 8584 10658 10804 16936 21316 21608 42632 78329 154541 156658 197173 309082 313316 394346 618164 626632 788692 1236328 1577384 5718017 11436034 22872068 45744136