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45714528 = 2532158731
BaseRepresentation
bin1010111001100…
…0110001100000
310012000112112200
42232120301200
543200331103
64311453200
71063365336
oct256306140
9105015480
1045714528
1123894002
1213387200
139617922
1460ddb56
1540300a3
hex2b98c60

45714528 has 36 divisors (see below), whose sum is σ = 130001508. Its totient is φ = 15238080.

The previous prime is 45714523. The next prime is 45714533. The reversal of 45714528 is 82541754.

It is an interprime number because it is at equal distance from previous prime (45714523) and next prime (45714533).

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

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 = 45714492 and 45714501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45714521) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 79078 + ... + 79653.

It is an arithmetic number, because the mean of its divisors is an integer number (3611153).

Almost surely, 245714528 is an apocalyptic number.

45714528 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45714528 is an abundant number, since it is smaller than the sum of its proper divisors (84286980).

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

45714528 is a wasteful number, since it uses less digits than its factorization.

45714528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158747 (or 158736 counting only the distinct ones).

The product of its digits is 44800, while the sum is 36.

The square root of 45714528 is about 6761.2519550746. The cubic root of 45714528 is about 357.5620457293.

The spelling of 45714528 in words is "forty-five million, seven hundred fourteen thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 158731 317462 476193 634924 952386 1269848 1428579 1904772 2539696 2857158 3809544 5079392 5714316 7619088 11428632 15238176 22857264 45714528