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5065032 = 233725973
BaseRepresentation
bin10011010100100101001000
3100112022220210
4103110211020
52244040112
6300321120
761023600
oct23244510
910468823
105065032
11294a485
1218431a0
13108457b
1495bc00
156a0b3c
hex4d4948

5065032 has 96 divisors (see below), whose sum is σ = 15184800. Its totient is φ = 1403136.

The previous prime is 5065019. The next prime is 5065033. The reversal of 5065032 is 2305605.

It is a super-3 number, since 3×50650323 (a number of 21 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (5065033) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69348 + ... + 69420.

It is an arithmetic number, because the mean of its divisors is an integer number (158175).

Almost surely, 25065032 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 5065032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7592400).

5065032 is an abundant number, since it is smaller than the sum of its proper divisors (10119768).

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

5065032 is a wasteful number, since it uses less digits than its factorization.

5065032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 5065032 is about 2250.5625963301. The cubic root of 5065032 is about 171.7357579473.

The spelling of 5065032 in words is "five million, sixty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 59 73 84 98 118 146 147 168 177 196 219 236 292 294 354 392 413 438 472 511 584 588 708 826 876 1022 1176 1239 1416 1533 1652 1752 2044 2478 2891 3066 3304 3577 4088 4307 4956 5782 6132 7154 8614 8673 9912 10731 11564 12264 12921 14308 17228 17346 21462 23128 25842 28616 30149 34456 34692 42924 51684 60298 69384 85848 90447 103368 120596 180894 211043 241192 361788 422086 633129 723576 844172 1266258 1688344 2532516 5065032