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925000506 = 233312712039
BaseRepresentation
bin110111001000100…
…110001100111010
32101110112220011000
4313020212030322
53343300004011
6231441545430
731631242323
oct6710461472
92343486130
10925000506
11435158631
12219945276
1311983aba1
148abc744a
1556319356
hex3722633a

925000506 has 64 divisors (see below), whose sum is σ = 2130739200. Its totient is φ = 297140400.

The previous prime is 925000471. The next prime is 925000507. The reversal of 925000506 is 605000529.

925000506 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×9250005062 = 1711251872200512072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 925000506.

It is not an unprimeable number, because it can be changed into a prime (925000507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 452635 + ... + 454673.

It is an arithmetic number, because the mean of its divisors is an integer number (33292800).

Almost surely, 2925000506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 925000506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065369600).

925000506 is an abundant number, since it is smaller than the sum of its proper divisors (1205738694).

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

925000506 is a wasteful number, since it uses less digits than its factorization.

925000506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 925000506 is about 30413.8209700787. The cubic root of 925000506 is about 974.3477578521.

The spelling of 925000506 in words is "nine hundred twenty-five million, five hundred six", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 271 279 542 558 813 837 1626 1674 2039 2439 4078 4878 6117 7317 8401 12234 14634 16802 18351 25203 36702 50406 55053 63209 75609 110106 126418 151218 189627 226827 379254 453654 552569 568881 1105138 1137762 1657707 1706643 3315414 3413286 4973121 9946242 14919363 17129639 29838726 34259278 51388917 102777834 154166751 308333502 462500253 925000506