Search a number
-
+
45897852 = 223711133821
BaseRepresentation
bin1010111100010…
…1100001111100
310012100212000110
42233011201330
543222212402
64315430020
71065060660
oct257054174
9105325013
1045897852
11239a9810
1213455310
1396801c0
14614a8a0
15406956c
hex2bc587c

45897852 has 96 divisors (see below), whose sum is σ = 143829504. Its totient is φ = 11001600.

The previous prime is 45897847. The next prime is 45897869. The reversal of 45897852 is 25879854.

It is a super-2 number, since 2×458978522 = 4213225636427808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10102 + ... + 13922.

It is an arithmetic number, because the mean of its divisors is an integer number (1498224).

Almost surely, 245897852 is an apocalyptic number.

45897852 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45897852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71914752).

45897852 is an abundant number, since it is smaller than the sum of its proper divisors (97931652).

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

45897852 is a wasteful number, since it uses less digits than its factorization.

45897852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3859 (or 3857 counting only the distinct ones).

The product of its digits is 806400, while the sum is 48.

The square root of 45897852 is about 6774.7953474625. The cubic root of 45897852 is about 358.0393723018.

The spelling of 45897852 in words is "forty-five million, eight hundred ninety-seven thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 13 14 21 22 26 28 33 39 42 44 52 66 77 78 84 91 132 143 154 156 182 231 273 286 308 364 429 462 546 572 858 924 1001 1092 1716 2002 3003 3821 4004 6006 7642 11463 12012 15284 22926 26747 42031 45852 49673 53494 80241 84062 99346 106988 126093 149019 160482 168124 198692 252186 294217 298038 320964 347711 504372 546403 588434 596076 695422 882651 1043133 1092806 1176868 1390844 1639209 1765302 2086266 2185612 3278418 3530604 3824821 4172532 6556836 7649642 11474463 15299284 22948926 45897852