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5076792 = 2332721439
BaseRepresentation
bin10011010111011100111000
3100112221001100
4103113130320
52244424132
6300451400
761103100
oct23273470
910487040
105076792
1129582a6
121849b60
131089a26
14962200
156a437c
hex4d7738

5076792 has 72 divisors (see below), whose sum is σ = 16005600. Its totient is φ = 1449504.

The previous prime is 5076787. The next prime is 5076793. The reversal of 5076792 is 2976705.

5076792 is a `hidden beast` number, since 507 + 67 + 92 = 666.

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

It is a super-2 number, since 2×50767922 = 51547634022528, which contains 22 as substring.

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

It is a nialpdrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5076793) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2809 + ... + 4247.

It is an arithmetic number, because the mean of its divisors is an integer number (222300).

Almost surely, 25076792 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 5076792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8002800).

5076792 is an abundant number, since it is smaller than the sum of its proper divisors (10928808).

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

5076792 is a wasteful number, since it uses less digits than its factorization.

5076792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 5076792 is about 2253.1737616083. The cubic root of 5076792 is about 171.8685673405.

The spelling of 5076792 in words is "five million, seventy-six thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1439 1764 2878 3528 4317 5756 8634 10073 11512 12951 17268 20146 25902 30219 34536 40292 51804 60438 70511 80584 90657 103608 120876 141022 181314 211533 241752 282044 362628 423066 564088 634599 725256 846132 1269198 1692264 2538396 5076792