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45949644 = 223213472089
BaseRepresentation
bin1010111101001…
…0001011001100
310012110111001200
42233102023030
543230342034
64320505500
71065364656
oct257221314
9105414050
1045949644
1123a34714
121347b290
13969a950
1461616d6
154079a99
hex2bd22cc

45949644 has 72 divisors (see below), whose sum is σ = 127807680. Its totient is φ = 13830912.

The previous prime is 45949637. The next prime is 45949649. The reversal of 45949644 is 44694954.

45949644 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 2×459496442 = 4222739567453472, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45949644.

It is not an unprimeable number, because it can be changed into a prime (45949649) 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 23 ways as a sum of consecutive naturals, for example, 20952 + ... + 23040.

Almost surely, 245949644 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 45949644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63903840).

45949644 is an abundant number, since it is smaller than the sum of its proper divisors (81858036).

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

45949644 is a wasteful number, since it uses less digits than its factorization.

45949644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2154 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 45949644 is about 6778.6166730388. The cubic root of 45949644 is about 358.1739944664.

The spelling of 45949644 in words is "forty-five million, nine hundred forty-nine thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 47 52 78 94 117 141 156 188 234 282 423 468 564 611 846 1222 1692 1833 2089 2444 3666 4178 5499 6267 7332 8356 10998 12534 18801 21996 25068 27157 37602 54314 75204 81471 98183 108628 162942 196366 244413 294549 325884 392732 488826 589098 883647 977652 1178196 1276379 1767294 2552758 3534588 3829137 5105516 7658274 11487411 15316548 22974822 45949644