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5125032 = 233411719
BaseRepresentation
bin10011100011001110101000
3100122101020000
4103203032220
52303000112
6301503000
761363533
oct23431650
910571200
105125032
112990570
121871a60
1310a5983
14975a1a
156b37dc
hex4e33a8

5125032 has 80 divisors (see below), whose sum is σ = 15681600. Its totient is φ = 1550880.

The previous prime is 5125027. The next prime is 5125039. The reversal of 5125032 is 2305215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 5124996 and 5125014.

It is not an unprimeable number, because it can be changed into a prime (5125039) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 6769 + ... + 7487.

It is an arithmetic number, because the mean of its divisors is an integer number (196020).

Almost surely, 25125032 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 5125032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7840800).

5125032 is an abundant number, since it is smaller than the sum of its proper divisors (10556568).

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

5125032 is a wasteful number, since it uses less digits than its factorization.

5125032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 748 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 5125032 is about 2263.8533521410. The cubic root of 5125032 is about 172.4112208573.

The spelling of 5125032 in words is "five million, one hundred twenty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 81 88 99 108 132 162 198 216 264 297 324 396 594 648 719 792 891 1188 1438 1782 2157 2376 2876 3564 4314 5752 6471 7128 7909 8628 12942 15818 17256 19413 23727 25884 31636 38826 47454 51768 58239 63272 71181 77652 94908 116478 142362 155304 189816 213543 232956 284724 427086 465912 569448 640629 854172 1281258 1708344 2562516 5125032