Search a number
-
+
45849816 = 23321747797
BaseRepresentation
bin1010111011100…
…1110011011000
310012021102010100
42232321303120
543214143231
64314415400
71064500635
oct256716330
9105242110
1045849816
1123976711
1213431560
13966438c
14613718c
15405a1e6
hex2bb9cd8

45849816 has 96 divisors (see below), whose sum is σ = 134447040. Its totient is φ = 14060544.

The previous prime is 45849803. The next prime is 45849851. The reversal of 45849816 is 61894854.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57130 + ... + 57926.

It is an arithmetic number, because the mean of its divisors is an integer number (1400490).

Almost surely, 245849816 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 45849816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67223520).

45849816 is an abundant number, since it is smaller than the sum of its proper divisors (88597224).

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

45849816 is a wasteful number, since it uses less digits than its factorization.

45849816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 873 (or 866 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The square root of 45849816 is about 6771.2492200480. The cubic root of 45849816 is about 357.9144224982.

It can be divided in two parts, 45849 and 816, that added together give a triangular number (46665 = T305).

The spelling of 45849816 in words is "forty-five million, eight hundred forty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 47 51 68 72 94 102 136 141 153 188 204 282 306 376 408 423 564 612 797 799 846 1128 1224 1594 1598 1692 2391 2397 3188 3196 3384 4782 4794 6376 6392 7173 7191 9564 9588 13549 14346 14382 19128 19176 27098 28692 28764 37459 40647 54196 57384 57528 74918 81294 108392 112377 121941 149836 162588 224754 243882 299672 325176 337131 449508 487764 636803 674262 899016 975528 1273606 1348524 1910409 2547212 2697048 3820818 5094424 5731227 7641636 11462454 15283272 22924908 45849816