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5000928 = 253113461
BaseRepresentation
bin10011000100111011100000
3100102001222120
4103010323200
52240012203
6255104240
760335652
oct23047340
910361876
105000928
1129062a9
121812080
13106133a
149426d2
1568bb53
hex4c4ee0

5000928 has 48 divisors (see below), whose sum is σ = 13272336. Its totient is φ = 1648640.

The previous prime is 5000927. The next prime is 5000929. The reversal of 5000928 is 8290005.

5000928 = T87 + T88 + ... + T312.

It is an interprime number because it is at equal distance from previous prime (5000927) and next prime (5000929).

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×50009282 = 50018561722368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 5000898 and 5000907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5000923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10618 + ... + 11078.

It is an arithmetic number, because the mean of its divisors is an integer number (276507).

Almost surely, 25000928 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 5000928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6636168).

5000928 is an abundant number, since it is smaller than the sum of its proper divisors (8271408).

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

5000928 is a wasteful number, since it uses less digits than its factorization.

5000928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 587 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 5000928 is about 2236.2754749807. The cubic root of 5000928 is about 171.0081730644.

The spelling of 5000928 in words is "five million, nine hundred twenty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 113 226 339 452 461 678 904 922 1356 1383 1808 1844 2712 2766 3616 3688 5424 5532 7376 10848 11064 14752 22128 44256 52093 104186 156279 208372 312558 416744 625116 833488 1250232 1666976 2500464 5000928