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4840992 = 253313431
BaseRepresentation
bin10010011101111000100000
3100002221121000
4102131320200
52214402432
6251432000
756101452
oct22357040
910087530
104840992
112807122
121755600
1310065c0
149002d2
1565957c
hex49de20

4840992 has 96 divisors (see below), whose sum is σ = 15240960. Its totient is φ = 1486080.

The previous prime is 4840981. The next prime is 4841003. The reversal of 4840992 is 2990484.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4840981) and next prime (4841003).

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11017 + ... + 11447.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 24840992 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 4840992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7620480).

4840992 is an abundant number, since it is smaller than the sum of its proper divisors (10399968).

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

4840992 is a wasteful number, since it uses less digits than its factorization.

4840992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 4840992 is about 2200.2254429944. The cubic root of 4840992 is about 169.1653668867.

It can be divided in two parts, 4840 and 992, that added together give a cube (5832 = 183).

The spelling of 4840992 in words is "four million, eight hundred forty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 96 104 108 117 144 156 208 216 234 288 312 351 416 431 432 468 624 702 862 864 936 1248 1293 1404 1724 1872 2586 2808 3448 3744 3879 5172 5603 5616 6896 7758 10344 11206 11232 11637 13792 15516 16809 20688 22412 23274 31032 33618 41376 44824 46548 50427 62064 67236 89648 93096 100854 124128 134472 151281 179296 186192 201708 268944 302562 372384 403416 537888 605124 806832 1210248 1613664 2420496 4840992