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4992480 = 253253467
BaseRepresentation
bin10011000010110111100000
3100101122101200
4103002313200
52234224410
6255001200
760302223
oct23026740
910348350
104992480
1128aaa19
121809200
13105a53c
1493d5ba
156893c0
hex4c2de0

4992480 has 72 divisors (see below), whose sum is σ = 17041752. Its totient is φ = 1330944.

The previous prime is 4992461. The next prime is 4992487. The reversal of 4992480 is 842994.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4992487) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 294 + ... + 3173.

It is an arithmetic number, because the mean of its divisors is an integer number (236691).

Almost surely, 24992480 is an apocalyptic number.

4992480 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 4992480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8520876).

4992480 is an abundant number, since it is smaller than the sum of its proper divisors (12049272).

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

4992480 is a wasteful number, since it uses less digits than its factorization.

4992480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3488 (or 3477 counting only the distinct ones).

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

The square root of 4992480 is about 2234.3858216521. The cubic root of 4992480 is about 170.9118248599.

It can be divided in two parts, 49 and 92480, that added together give a palindrome (92529).

The spelling of 4992480 in words is "four million, nine hundred ninety-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3467 6934 10401 13868 17335 20802 27736 31203 34670 41604 52005 55472 62406 69340 83208 104010 110944 124812 138680 156015 166416 208020 249624 277360 312030 332832 416040 499248 554720 624060 832080 998496 1248120 1664160 2496240 4992480