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5082792 = 23311131481
BaseRepresentation
bin10011011000111010101000
3100120020021120
4103120322220
52300122132
6300535240
761126431
oct23307250
910506246
105082792
112961860
121851520
13108c690
14964488
156a602c
hex4d8ea8

5082792 has 64 divisors (see below), whose sum is σ = 14938560. Its totient is φ = 1420800.

The previous prime is 5082787. The next prime is 5082809. The reversal of 5082792 is 2972805.

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

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, 2692 + ... + 4172.

It is an arithmetic number, because the mean of its divisors is an integer number (233415).

Almost surely, 25082792 is an apocalyptic number.

5082792 is a gapful number since it is divisible by the number (52) 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 5082792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469280).

5082792 is an abundant number, since it is smaller than the sum of its proper divisors (9855768).

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

5082792 is a wasteful number, since it uses less digits than its factorization.

5082792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1514 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5082792 is about 2254.5048236808. The cubic root of 5082792 is about 171.9362482320.

The spelling of 5082792 in words is "five million, eighty-two thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1481 1716 2962 3432 4443 5924 8886 11848 16291 17772 19253 32582 35544 38506 48873 57759 65164 77012 97746 115518 130328 154024 195492 211783 231036 390984 423566 462072 635349 847132 1270698 1694264 2541396 5082792