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5212944 = 2433111097
BaseRepresentation
bin10011111000101100010000
3100210211211000
4103320230100
52313303234
6303422000
762211042
oct23705420
910724730
105212944
112a40620
1218b4900
1311069a9
14999a92
156ce899
hex4f8b10

5212944 has 80 divisors (see below), whose sum is σ = 16338240. Its totient is φ = 1578240.

The previous prime is 5212943. The next prime is 5212979. The reversal of 5212944 is 4492125.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5212943) 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, 4204 + ... + 5300.

It is an arithmetic number, because the mean of its divisors is an integer number (204228).

Almost surely, 25212944 is an apocalyptic number.

5212944 is a gapful number since it is divisible by the number (54) 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 5212944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8169120).

5212944 is an abundant number, since it is smaller than the sum of its proper divisors (11125296).

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

5212944 is a wasteful number, since it uses less digits than its factorization.

5212944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1125 (or 1113 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 5212944 is about 2283.1872459349. The cubic root of 5212944 is about 173.3914532251.

It can be divided in two parts, 52 and 12944, that added together give a square (12996 = 1142).

The spelling of 5212944 in words is "five million, two hundred twelve thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1097 1188 1584 2194 2376 3291 4388 4752 6582 8776 9873 12067 13164 17552 19746 24134 26328 29619 36201 39492 48268 52656 59238 72402 78984 96536 108603 118476 144804 157968 193072 217206 236952 289608 325809 434412 473904 579216 651618 868824 1303236 1737648 2606472 5212944