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45417096 = 2332738641
BaseRepresentation
bin1010110101000…
…0001010001000
310011110102112200
42231100022020
543111321341
64301240200
71061016234
oct255201210
9104412480
1045417096
112370059a
1213263060
13954242a
1460635c4
153ec1db6
hex2b50288

45417096 has 48 divisors (see below), whose sum is σ = 124704060. Its totient is φ = 14929920.

The previous prime is 45417091. The next prime is 45417107. The reversal of 45417096 is 69071454.

It can be written as a sum of positive squares in 2 ways, for example, as 42068196 + 3348900 = 6486^2 + 1830^2 .

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 45417096.

It is not an unprimeable number, because it can be changed into a prime (45417091) 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, 936 + ... + 9576.

Almost surely, 245417096 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 45417096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62352030).

45417096 is an abundant number, since it is smaller than the sum of its proper divisors (79286964).

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

45417096 is a wasteful number, since it uses less digits than its factorization.

45417096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8726 (or 8719 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 45417096 is about 6739.2207264639. The cubic root of 45417096 is about 356.7848903024.

The spelling of 45417096 in words is "forty-five million, four hundred seventeen thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 8641 17282 25923 34564 51846 69128 77769 103692 155538 207384 311076 622152 630793 1261586 1892379 2523172 3784758 5046344 5677137 7569516 11354274 15139032 22708548 45417096