Search a number
-
+
46163920 = 24511219251
BaseRepresentation
bin1011000000011…
…0011111010000
310012212100222211
42300012133100
543304221140
64325241504
71100246455
oct260063720
9105770884
1046163920
1124070700
1213563294
13974433a
1461b982c
1540bd2ea
hex2c067d0

46163920 has 120 divisors (see below), whose sum is σ = 124679520. Its totient is φ = 15840000.

The previous prime is 46163903. The next prime is 46163927. The reversal of 46163920 is 2936164.

It is a super-2 number, since 2×461639202 = 4262215019532800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46163927) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 183795 + ... + 184045.

It is an arithmetic number, because the mean of its divisors is an integer number (1038996).

Almost surely, 246163920 is an apocalyptic number.

46163920 is a gapful number since it is divisible by the number (40) 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 46163920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62339760).

46163920 is an abundant number, since it is smaller than the sum of its proper divisors (78515600).

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

46163920 is a wasteful number, since it uses less digits than its factorization.

46163920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 46163920 is about 6794.4035794174. The cubic root of 46163920 is about 358.7298863300.

The spelling of 46163920 in words is "forty-six million, one hundred sixty-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 76 80 88 95 110 121 152 176 190 209 220 242 251 304 380 418 440 484 502 605 760 836 880 968 1004 1045 1210 1255 1520 1672 1936 2008 2090 2299 2420 2510 2761 3344 4016 4180 4598 4769 4840 5020 5522 8360 9196 9538 9680 10040 11044 11495 13805 16720 18392 19076 20080 22088 22990 23845 27610 30371 36784 38152 44176 45980 47690 52459 55220 60742 76304 91960 95380 104918 110440 121484 151855 183920 190760 209836 220880 242968 262295 303710 381520 419672 485936 524590 577049 607420 839344 1049180 1154098 1214840 2098360 2308196 2429680 2885245 4196720 4616392 5770490 9232784 11540980 23081960 46163920