Search a number
-
+
45996636 = 2237599281
BaseRepresentation
bin1010111101110…
…1101001011100
310012112212112010
42233131221130
543233343021
64321511220
71065651660
oct257355134
9105485463
1045996636
1123a66a54
12134a2510
1396b615a
1461748a0
154088976
hex2bdda5c

45996636 has 48 divisors (see below), whose sum is σ = 124750080. Its totient is φ = 12917760.

The previous prime is 45996617. The next prime is 45996637. The reversal of 45996636 is 63669954.

It is a happy number.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45996637) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316 + ... + 9596.

It is an arithmetic number, because the mean of its divisors is an integer number (2598960).

Almost surely, 245996636 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 45996636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62375040).

45996636 is an abundant number, since it is smaller than the sum of its proper divisors (78753444).

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

45996636 is a wasteful number, since it uses less digits than its factorization.

45996636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9354 (or 9352 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 48.

The square root of 45996636 is about 6782.0819812208. The cubic root of 45996636 is about 358.2960525604.

The spelling of 45996636 in words is "forty-five million, nine hundred ninety-six thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 59 84 118 177 236 354 413 708 826 1239 1652 2478 4956 9281 18562 27843 37124 55686 64967 111372 129934 194901 259868 389802 547579 779604 1095158 1642737 2190316 3285474 3833053 6570948 7666106 11499159 15332212 22998318 45996636