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45536328 = 23325311933
BaseRepresentation
bin1010110110110…
…1010001001000
310011200111002200
42231231101020
543124130303
64304000200
71062023655
oct255552110
9104614080
1045536328
1123782132
1213300060
139584796
146094c2c
153ee73a3
hex2b6d448

45536328 has 48 divisors (see below), whose sum is σ = 125665020. Its totient is φ = 14891136.

The previous prime is 45536327. The next prime is 45536329. The reversal of 45536328 is 82363554.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45536327) and next prime (45536329).

It can be written as a sum of positive squares in 2 ways, for example, as 41447844 + 4088484 = 6438^2 + 2022^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 45536292 and 45536301.

It is not an unprimeable number, because it can be changed into a prime (45536321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2151 + ... + 9782.

Almost surely, 245536328 is an apocalyptic number.

It is an amenable number.

45536328 is an abundant number, since it is smaller than the sum of its proper divisors (80128692).

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

45536328 is a wasteful number, since it uses less digits than its factorization.

45536328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11998 (or 11991 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 45536328 is about 6748.0610548512. The cubic root of 45536328 is about 357.0968360052.

The spelling of 45536328 in words is "forty-five million, five hundred thirty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 53 72 106 159 212 318 424 477 636 954 1272 1908 3816 11933 23866 35799 47732 71598 95464 107397 143196 214794 286392 429588 632449 859176 1264898 1897347 2529796 3794694 5059592 5692041 7589388 11384082 15178776 22768164 45536328