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5079624 = 2331171271
BaseRepresentation
bin10011011000001001001000
3100120001221020
4103120021020
52300021444
6300512440
761114254
oct23301110
910501836
105079624
11295a440
12184b720
13108b0c4
14963264
156a5119
hex4d8248

5079624 has 64 divisors (see below), whose sum is σ = 14100480. Its totient is φ = 1512000.

The previous prime is 5079623. The next prime is 5079661. The reversal of 5079624 is 4269705.

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

It is not an unprimeable number, because it can be changed into a prime (5079623) 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, 18609 + ... + 18879.

It is an arithmetic number, because the mean of its divisors is an integer number (220320).

Almost surely, 25079624 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 5079624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7050240).

5079624 is an abundant number, since it is smaller than the sum of its proper divisors (9020856).

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

5079624 is a wasteful number, since it uses less digits than its factorization.

5079624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 362 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 5079624 is about 2253.8021208615. The cubic root of 5079624 is about 171.9005193623.

The spelling of 5079624 in words is "five million, seventy-nine thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 271 284 426 542 568 781 813 852 1084 1562 1626 1704 2168 2343 2981 3124 3252 4686 5962 6248 6504 8943 9372 11924 17886 18744 19241 23848 35772 38482 57723 71544 76964 115446 153928 211651 230892 423302 461784 634953 846604 1269906 1693208 2539812 5079624