Search a number
-
+
3904992 = 2532713149
BaseRepresentation
bin1110111001010111100000
321100101122100
432321113200
51444424432
6215410400
745122550
oct16712740
97311570
103904992
112227973
121383a00
13a69560
14739160
1552207c
hex3b95e0

3904992 has 144 divisors (see below), whose sum is σ = 13759200. Its totient is φ = 1022976.

The previous prime is 3904981. The next prime is 3904997. The reversal of 3904992 is 2994093.

It is a tau number, because it is divible by the number of its divisors (144).

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 (3904997) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26134 + ... + 26282.

It is an arithmetic number, because the mean of its divisors is an integer number (95550).

Almost surely, 23904992 is an apocalyptic number.

3904992 is a gapful number since it is divisible by the number (32) 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 3904992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6879600).

3904992 is an abundant number, since it is smaller than the sum of its proper divisors (9854208).

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

3904992 is a wasteful number, since it uses less digits than its factorization.

3904992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 3904992 is about 1976.1052603543. The cubic root of 3904992 is about 157.4732229610.

The spelling of 3904992 in words is "three million, nine hundred four thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 149 156 168 182 208 224 234 252 273 288 298 312 336 364 416 447 468 504 546 596 624 672 728 819 894 936 1008 1043 1092 1192 1248 1341 1456 1638 1788 1872 1937 2016 2086 2184 2384 2682 2912 3129 3276 3576 3744 3874 4172 4368 4768 5364 5811 6258 6552 7152 7748 8344 8736 9387 10728 11622 12516 13104 13559 14304 15496 16688 17433 18774 21456 23244 25032 26208 27118 30992 33376 34866 37548 40677 42912 46488 50064 54236 61984 69732 75096 81354 92976 100128 108472 122031 139464 150192 162708 185952 216944 244062 278928 300384 325416 433888 488124 557856 650832 976248 1301664 1952496 3904992