Search a number
-
+
45663500 = 2253271337
BaseRepresentation
bin1010111000110…
…0010100001100
310011220221112202
42232030110030
543142213000
64310421032
71063063511
oct256142414
9104827482
1045663500
1123859733
1213361778
1395ca62c
1460c9308
15401edd5
hex2b8c50c

45663500 has 48 divisors (see below), whose sum is σ = 100394112. Its totient is φ = 18144000.

The previous prime is 45663493. The next prime is 45663511. The reversal of 45663500 is 536654.

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 15 ways as a sum of consecutive naturals, for example, 135332 + ... + 135668.

It is an arithmetic number, because the mean of its divisors is an integer number (2091544).

Almost surely, 245663500 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 45663500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50197056).

45663500 is an abundant number, since it is smaller than the sum of its proper divisors (54730612).

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

45663500 is a wasteful number, since it uses less digits than its factorization.

45663500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 615 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 45663500 is about 6757.4773399546. The cubic root of 45663500 is about 357.4289555143.

The spelling of 45663500 in words is "forty-five million, six hundred sixty-three thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 271 337 500 542 674 1084 1348 1355 1685 2710 3370 5420 6740 6775 8425 13550 16850 27100 33700 33875 42125 67750 84250 91327 135500 168500 182654 365308 456635 913270 1826540 2283175 4566350 9132700 11415875 22831750 45663500