Search a number
-
+
4842960 = 2435171187
BaseRepresentation
bin10010011110010111010000
3100010001021220
4102132113100
52214433320
6251445040
756110263
oct22362720
910101256
104842960
112808651
121756780
131007475
14900cda
15659e40
hex49e5d0

4842960 has 80 divisors (see below), whose sum is σ = 15909696. Its totient is φ = 1214464.

The previous prime is 4842953. The next prime is 4842983. The reversal of 4842960 is 692484.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3487 + ... + 4673.

Almost surely, 24842960 is an apocalyptic number.

4842960 is a gapful number since it is divisible by the number (40) 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 4842960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7954848).

4842960 is an abundant number, since it is smaller than the sum of its proper divisors (11066736).

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

4842960 is a wasteful number, since it uses less digits than its factorization.

4842960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1220 (or 1214 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 4842960 is about 2200.6726244492. The cubic root of 4842960 is about 169.1882872811.

The spelling of 4842960 in words is "four million, eight hundred forty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1187 1360 2040 2374 3561 4080 4748 5935 7122 9496 11870 14244 17805 18992 20179 23740 28488 35610 40358 47480 56976 60537 71220 80716 94960 100895 121074 142440 161432 201790 242148 284880 302685 322864 403580 484296 605370 807160 968592 1210740 1614320 2421480 4842960