Search a number
-
+
45640716 = 22311217432
BaseRepresentation
bin1010111000011…
…0110000001100
310011212210021220
42232012300030
543141000331
64310123340
71062640212
oct256066014
9104783256
1045640716
1123843600
1213350550
1395c0154
1460c0cb2
154018296
hex2b86c0c

45640716 has 108 divisors (see below), whose sum is σ = 126891576. Its totient is φ = 12714240.

The previous prime is 45640703. The next prime is 45640729. The reversal of 45640716 is 61704654.

45640716 is digitally balanced in base 9, 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 (45640703) and next prime (45640729).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

45640716 is strictly pandigital in base 9.

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, 1061391 + ... + 1061433.

It is an arithmetic number, because the mean of its divisors is an integer number (1174922).

Almost surely, 245640716 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 45640716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63445788).

45640716 is an abundant number, since it is smaller than the sum of its proper divisors (81250860).

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

45640716 is a wasteful number, since it uses less digits than its factorization.

45640716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 45640716 is about 6755.7912934015. The cubic root of 45640716 is about 357.3694987189.

The spelling of 45640716 in words is "forty-five million, six hundred forty thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 43 44 51 66 68 86 102 121 129 132 172 187 204 242 258 363 374 473 484 516 561 726 731 748 946 1122 1419 1452 1462 1849 1892 2057 2193 2244 2838 2924 3698 4114 4386 5203 5547 5676 6171 7396 8041 8228 8772 10406 11094 12342 15609 16082 20339 20812 22188 24123 24684 31218 31433 32164 40678 48246 61017 62436 62866 81356 88451 94299 96492 122034 125732 176902 188598 223729 244068 265353 345763 353804 377196 447458 530706 671187 691526 894916 1037289 1061412 1342374 1383052 2074578 2684748 3803393 4149156 7606786 11410179 15213572 22820358 45640716