Search a number
-
+
48786920 = 23571321031
BaseRepresentation
bin1011101000011…
…0110111101000
310101210122001222
42322012313220
544442140140
64501401212
71131452630
oct272066750
9111718058
1048786920
11255a2376
1214409208
13a152200
14669d6c0
15443a5b5
hex2e86de8

48786920 has 96 divisors (see below), whose sum is σ = 135976320. Its totient is φ = 15425280.

The previous prime is 48786919. The next prime is 48786931. The reversal of 48786920 is 2968784.

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, 46805 + ... + 47835.

It is an arithmetic number, because the mean of its divisors is an integer number (1416420).

Almost surely, 248786920 is an apocalyptic number.

48786920 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 48786920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67988160).

48786920 is an abundant number, since it is smaller than the sum of its proper divisors (87189400).

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

48786920 is a wasteful number, since it uses less digits than its factorization.

48786920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075 (or 1058 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 48786920 is about 6984.7634176112. The cubic root of 48786920 is about 365.3993752003.

The spelling of 48786920 in words is "forty-eight million, seven hundred eighty-six thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 169 182 260 280 338 364 455 520 676 728 845 910 1031 1183 1352 1690 1820 2062 2366 3380 3640 4124 4732 5155 5915 6760 7217 8248 9464 10310 11830 13403 14434 20620 23660 26806 28868 36085 41240 47320 53612 57736 67015 72170 93821 107224 134030 144340 174239 187642 268060 288680 348478 375284 469105 536120 696956 750568 871195 938210 1219673 1393912 1742390 1876420 2439346 3484780 3752840 4878692 6098365 6969560 9757384 12196730 24393460 48786920