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4934112 = 253103499
BaseRepresentation
bin10010110100100111100000
3100021200022220
4102310213200
52230342422
6253431040
756640111
oct22644740
910250286
104934112
112870087
12179b480
131039ac1
14926208
15676e5c
hex4b49e0

4934112 has 48 divisors (see below), whose sum is σ = 13104000. Its totient is φ = 1625472.

The previous prime is 4934093. The next prime is 4934113. The reversal of 4934112 is 2114394.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×49341122 = 48690922457088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4934113) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9639 + ... + 10137.

It is an arithmetic number, because the mean of its divisors is an integer number (273000).

Almost surely, 24934112 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 4934112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6552000).

4934112 is an abundant number, since it is smaller than the sum of its proper divisors (8169888).

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

4934112 is a wasteful number, since it uses less digits than its factorization.

4934112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 607 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 4934112 is about 2221.2861139439. The cubic root of 4934112 is about 170.2431583779.

The spelling of 4934112 in words is "four million, nine hundred thirty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 499 618 824 998 1236 1497 1648 1996 2472 2994 3296 3992 4944 5988 7984 9888 11976 15968 23952 47904 51397 102794 154191 205588 308382 411176 616764 822352 1233528 1644704 2467056 4934112