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45949638 = 2371971811
BaseRepresentation
bin1010111101001…
…0001011000110
310012110111001110
42233102023012
543230342023
64320505450
71065364650
oct257221306
9105414043
1045949638
1123a34709
121347b286
13969a947
1461616d0
154079a93
hex2bd22c6

45949638 has 64 divisors (see below), whose sum is σ = 112250880. Its totient is φ = 12247200.

The previous prime is 45949637. The next prime is 45949649. The reversal of 45949638 is 83694954.

45949638 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×459496382 = 4222738464662088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45949637) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56253 + ... + 57063.

It is an arithmetic number, because the mean of its divisors is an integer number (1753920).

Almost surely, 245949638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45949638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56125440).

45949638 is an abundant number, since it is smaller than the sum of its proper divisors (66301242).

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

45949638 is a wasteful number, since it uses less digits than its factorization.

45949638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 913.

The product of its digits is 933120, while the sum is 48.

The square root of 45949638 is about 6778.6162304706. The cubic root of 45949638 is about 358.1739788766.

The spelling of 45949638 in words is "forty-five million, nine hundred forty-nine thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 71 114 133 142 213 266 399 426 497 798 811 994 1349 1491 1622 2433 2698 2982 4047 4866 5677 8094 9443 11354 15409 17031 18886 28329 30818 34062 46227 56658 57581 92454 107863 115162 172743 215726 323589 345486 403067 647178 806134 1094039 1209201 2188078 2418402 3282117 6564234 7658273 15316546 22974819 45949638