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4792920 = 2335113631
BaseRepresentation
bin10010010010001001011000
3100000111122120
4102102021120
52211333140
6250421240
755511346
oct22221130
910014576
104792920
112783aa0
121731820
13cba762
148ca996
1564a1d0
hex492258

4792920 has 64 divisors (see below), whose sum is σ = 15690240. Its totient is φ = 1161600.

The previous prime is 4792913. The next prime is 4792927. The reversal of 4792920 is 292974.

It is an interprime number because it is at equal distance from previous prime (4792913) and next prime (4792927).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nialpdrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4792927) 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, 496 + ... + 3135.

It is an arithmetic number, because the mean of its divisors is an integer number (245160).

Almost surely, 24792920 is an apocalyptic number.

4792920 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 4792920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7845120).

4792920 is an abundant number, since it is smaller than the sum of its proper divisors (10897320).

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

4792920 is a wasteful number, since it uses less digits than its factorization.

4792920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3656 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 4792920 is about 2189.2738522168. The cubic root of 4792920 is about 168.6035547039.

The spelling of 4792920 in words is "four million, seven hundred ninety-two thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 3631 7262 10893 14524 18155 21786 29048 36310 39941 43572 54465 72620 79882 87144 108930 119823 145240 159764 199705 217860 239646 319528 399410 435720 479292 599115 798820 958584 1198230 1597640 2396460 4792920