Search a number
-
+
4744739868 = 22311972631409
BaseRepresentation
bin1000110101100111…
…01111110000011100
3110020200001202111020
410122303233300130
534204123133433
62102452124140
7225402423561
oct43263576034
913220052436
104744739868
112015311320
12b05006650
135a7cc6bab
14330216868
151cb833cb3
hex11acefc1c

4744739868 has 96 divisors (see below), whose sum is σ = 12257118720. Its totient is φ = 1416560640.

The previous prime is 4744739863. The next prime is 4744739873. The reversal of 4744739868 is 8689374474.

It is an interprime number because it is at equal distance from previous prime (4744739863) and next prime (4744739873).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4744739863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3366748 + ... + 3368156.

It is an arithmetic number, because the mean of its divisors is an integer number (127678320).

Almost surely, 24744739868 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 4744739868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6128559360).

4744739868 is an abundant number, since it is smaller than the sum of its proper divisors (7512378852).

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

4744739868 is a wasteful number, since it uses less digits than its factorization.

4744739868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787 (or 1785 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 60.

The square root of 4744739868 is about 68882.0721813739. The cubic root of 4744739868 is about 1680.3669677387.

The spelling of 4744739868 in words is "four billion, seven hundred forty-four million, seven hundred thirty-nine thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 97 132 194 263 291 388 526 582 789 1052 1067 1164 1409 1578 2134 2818 2893 3156 3201 4227 4268 5636 5786 6402 8454 8679 11572 12804 15499 16908 17358 25511 30998 34716 46497 51022 61996 76533 92994 102044 136673 153066 185988 273346 280621 306132 370567 410019 546692 561242 741134 820038 841863 1111701 1122484 1482268 1503403 1640076 1683726 2223402 3006806 3367452 4076237 4446804 4510209 6013612 8152474 9020418 12228711 16304948 18040836 24457422 35944999 48914844 71889998 107834997 143779996 215669994 395394989 431339988 790789978 1186184967 1581579956 2372369934 4744739868