Search a number
-
+
45013696 = 2671359131
BaseRepresentation
bin1010101110110…
…1101011000000
310010200221011221
42223231223000
543010414241
64244444424
71054416160
oct253555300
9103627157
1045013696
1123455502
12130a9714
139430930
145d9a5a0
153e425d1
hex2aedac0

45013696 has 112 divisors (see below), whose sum is σ = 112654080. Its totient is φ = 17372160.

The previous prime is 45013693. The next prime is 45013699. The reversal of 45013696 is 69631054.

45013696 is nontrivially palindromic in base 6.

45013696 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (45013693) and next prime (45013699).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (45013693) 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 15 ways as a sum of consecutive naturals, for example, 343551 + ... + 343681.

It is an arithmetic number, because the mean of its divisors is an integer number (1005840).

Almost surely, 245013696 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 45013696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56327040).

45013696 is an abundant number, since it is smaller than the sum of its proper divisors (67640384).

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

45013696 is a wasteful number, since it uses less digits than its factorization.

45013696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 34.

The square root of 45013696 is about 6709.2246944040. The cubic root of 45013696 is about 355.7254121300.

The spelling of 45013696 in words is "forty-five million, thirteen thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 59 64 91 104 112 118 131 182 208 224 236 262 364 413 416 448 472 524 728 767 826 832 917 944 1048 1456 1534 1652 1703 1834 1888 2096 2912 3068 3304 3406 3668 3776 4192 5369 5824 6136 6608 6812 7336 7729 8384 10738 11921 12272 13216 13624 14672 15458 21476 23842 24544 26432 27248 29344 30916 42952 47684 49088 54103 54496 58688 61832 85904 95368 100477 108206 108992 123664 171808 190736 200954 216412 247328 343616 381472 401908 432824 494656 703339 762944 803816 865648 1406678 1607632 1731296 2813356 3215264 3462592 5626712 6430528 11253424 22506848 45013696