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4929912 = 23321323229
BaseRepresentation
bin10010110011100101111000
3100021110120100
4102303211320
52230224122
6253355400
756621631
oct22634570
910243510
104929912
112867a09
121798b60
131037c10
14924888
15675aac
hex4b3978

4929912 has 96 divisors (see below), whose sum is σ = 15069600. Its totient is φ = 1444608.

The previous prime is 4929893. The next prime is 4929919. The reversal of 4929912 is 2199294.

4929912 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4929919) 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, 21414 + ... + 21642.

It is an arithmetic number, because the mean of its divisors is an integer number (156975).

Almost surely, 24929912 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 4929912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7534800).

4929912 is an abundant number, since it is smaller than the sum of its proper divisors (10139688).

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

4929912 is a wasteful number, since it uses less digits than its factorization.

4929912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 270 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 4929912 is about 2220.3405144257. The cubic root of 4929912 is about 170.1948400422.

It can be divided in two parts, 492 and 9912, that added together give a square (10404 = 1022).

The spelling of 4929912 in words is "four million, nine hundred twenty-nine thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 229 234 276 299 312 414 458 468 552 598 687 828 897 916 936 1196 1374 1656 1794 1832 2061 2392 2691 2748 2977 3588 4122 5267 5382 5496 5954 7176 8244 8931 10534 10764 11908 15801 16488 17862 21068 21528 23816 26793 31602 35724 42136 47403 53586 63204 68471 71448 94806 107172 126408 136942 189612 205413 214344 273884 379224 410826 547768 616239 821652 1232478 1643304 2464956 4929912