Search a number
-
+
45516672 = 273239511
BaseRepresentation
bin1010110110100…
…0011110000000
310011122111010200
42231220132000
543123013142
64303325200
71061612445
oct255503600
9104574120
1045516672
1123769393
12132b0800
139578856
14608b9cc
153ee164c
hex2b68780

45516672 has 48 divisors (see below), whose sum is σ = 130982280. Its totient is φ = 15171840.

The previous prime is 45516659. The next prime is 45516721. The reversal of 45516672 is 27661554.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 5 ways as a sum of consecutive naturals, for example, 18604 + ... + 20907.

Almost surely, 245516672 is an apocalyptic number.

It is an amenable number.

45516672 is an abundant number, since it is smaller than the sum of its proper divisors (85465608).

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

45516672 is a wasteful number, since it uses less digits than its factorization.

45516672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39531 (or 39516 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 45516672 is about 6746.6044792918. The cubic root of 45516672 is about 357.0454476896.

The spelling of 45516672 in words is "forty-five million, five hundred sixteen thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 39511 79022 118533 158044 237066 316088 355599 474132 632176 711198 948264 1264352 1422396 1896528 2528704 2844792 3793056 5057408 5689584 7586112 11379168 15172224 22758336 45516672