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4012944 = 2431359109
BaseRepresentation
bin1111010011101110010000
321112212201120
433103232100
52011403234
6222002240
746052355
oct17235620
97485646
104012944
1122a0a91
121416380
13aa6730
1476662c
15544049
hex3d3b90

4012944 has 80 divisors (see below), whose sum is σ = 11457600. Its totient is φ = 1202688.

The previous prime is 4012927. The next prime is 4012949. The reversal of 4012944 is 4492104.

4012944 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40129442 = 32207439094272, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4012949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36762 + ... + 36870.

It is an arithmetic number, because the mean of its divisors is an integer number (143220).

Almost surely, 24012944 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 4012944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5728800).

4012944 is an abundant number, since it is smaller than the sum of its proper divisors (7444656).

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

4012944 is a wasteful number, since it uses less digits than its factorization.

4012944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4012944 is about 2003.2333863033. The cubic root of 4012944 is about 158.9111484907.

The spelling of 4012944 in words is "four million, twelve thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 109 118 156 177 208 218 236 312 327 354 436 472 624 654 708 767 872 944 1308 1416 1417 1534 1744 2301 2616 2832 2834 3068 4251 4602 5232 5668 6136 6431 8502 9204 11336 12272 12862 17004 18408 19293 22672 25724 34008 36816 38586 51448 68016 77172 83603 102896 154344 167206 250809 308688 334412 501618 668824 1003236 1337648 2006472 4012944