Search a number
-
+
45536472 = 23331712401
BaseRepresentation
bin1010110110110…
…1010011011000
310011200111022000
42231231103120
543124131342
64304001000
71062024252
oct255552330
9104614260
1045536472
1123782253
1213300160
139584877
146094cd2
153ee744c
hex2b6d4d8

45536472 has 64 divisors (see below), whose sum is σ = 133941600. Its totient is φ = 14284800.

The previous prime is 45536461. The next prime is 45536479. The reversal of 45536472 is 27463554.

45536472 is a `hidden beast` number, since 4 + 5 + 5 + 3 + 647 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45536479) 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, 2529 + ... + 9872.

Almost surely, 245536472 is an apocalyptic number.

It is an amenable number.

45536472 is an abundant number, since it is smaller than the sum of its proper divisors (88405128).

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

45536472 is a wasteful number, since it uses less digits than its factorization.

45536472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12433 (or 12423 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 45536472 is about 6748.0717245744. The cubic root of 45536472 is about 357.0972124219.

It can be divided in two parts, 4553 and 6472, that added together give a square (11025 = 1052).

The spelling of 45536472 in words is "forty-five million, five hundred thirty-six thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 102 108 136 153 204 216 306 408 459 612 918 1224 1836 3672 12401 24802 37203 49604 74406 99208 111609 148812 210817 223218 297624 334827 421634 446436 632451 669654 843268 892872 1264902 1339308 1686536 1897353 2529804 2678616 3794706 5059608 5692059 7589412 11384118 15178824 22768236 45536472