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45342738 = 23272101509
BaseRepresentation
bin1010110011111…
…0000000010010
310011022122112200
42230332000102
543101431423
64255504030
71060256400
oct254760022
9104278480
1045342738
112365a741
1213228016
13951762c
146044470
153ea9d43
hex2b3e012

45342738 has 72 divisors (see below), whose sum is σ = 115640460. Its totient is φ = 12801600.

The previous prime is 45342727. The next prime is 45342749. The reversal of 45342738 is 83724354.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45342727) and next prime (45342749).

It can be written as a sum of positive squares in 2 ways, for example, as 36324729 + 9018009 = 6027^2 + 3003^2 .

It is a Curzon 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 35 ways as a sum of consecutive naturals, for example, 88828 + ... + 89336.

Almost surely, 245342738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45342738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57820230).

45342738 is an abundant number, since it is smaller than the sum of its proper divisors (70297722).

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

45342738 is a wasteful number, since it uses less digits than its factorization.

45342738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 622 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 45342738 is about 6733.7016565928. The cubic root of 45342738 is about 356.5900715754.

The spelling of 45342738 in words is "forty-five million, three hundred forty-two thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 101 126 147 202 294 303 441 509 606 707 882 909 1018 1414 1527 1818 2121 3054 3563 4242 4581 4949 6363 7126 9162 9898 10689 12726 14847 21378 24941 29694 32067 44541 49882 51409 64134 74823 89082 102818 149646 154227 224469 308454 359863 448938 462681 719726 925362 1079589 2159178 2519041 3238767 5038082 6477534 7557123 15114246 22671369 45342738