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45439056 = 2435132931
BaseRepresentation
bin1010110101010…
…1100001010000
310011111112200000
42231111201100
543113022211
64301530000
71061140245
oct255254120
9104445600
1045439056
1123716043
1213273900
13954c420
14606b5cc
153ec8656
hex2b55850

45439056 has 240 divisors, whose sum is σ = 151656960. Its totient is φ = 13063680.

The previous prime is 45438979. The next prime is 45439067. The reversal of 45439056 is 65093454.

It is a happy number.

It is a super-2 number, since 2×454390562 = 4129415620342272, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 45439056.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1465761 + ... + 1465791.

It is an arithmetic number, because the mean of its divisors is an integer number (631904).

Almost surely, 245439056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45439056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75828480).

45439056 is an abundant number, since it is smaller than the sum of its proper divisors (106217904).

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

45439056 is a wasteful number, since it uses less digits than its factorization.

45439056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 45439056 is about 6740.8497980596. The cubic root of 45439056 is about 356.8423850524.

The spelling of 45439056 in words is "forty-five million, four hundred thirty-nine thousand, fifty-six".