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251028432 = 24321978849
BaseRepresentation
bin11101111011001…
…10001111010000
3122111100120021100
432331212033100
51003230402212
640524224400
76135464214
oct1675461720
9574316240
10251028432
11119776416
127009b100
1340012845
14254a6944
1517088bdc
hexef663d0

251028432 has 60 divisors (see below), whose sum is σ = 706176900. Its totient is φ = 83241984.

The previous prime is 251028397. The next prime is 251028433. The reversal of 251028432 is 234820152.

It can be written as a sum of positive squares in 2 ways, for example, as 113294736 + 137733696 = 10644^2 + 11736^2 .

It is a junction number, because it is equal to n+sod(n) for n = 251028396 and 251028405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251028433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23944 + ... + 32792.

It is an arithmetic number, because the mean of its divisors is an integer number (11769615).

Almost surely, 2251028432 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 251028432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353088450).

251028432 is an abundant number, since it is smaller than the sum of its proper divisors (455148468).

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

251028432 is a wasteful number, since it uses less digits than its factorization.

251028432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9060 (or 9051 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 251028432 is about 15843.8767983092. The cubic root of 251028432 is about 630.8231718784.

Adding to 251028432 its reverse (234820152), we get a palindrome (485848584).

The spelling of 251028432 in words is "two hundred fifty-one million, twenty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 2364 3152 3546 4728 7092 8849 9456 14184 17698 26547 28368 35396 53094 70792 79641 106188 141584 159282 212376 318564 424752 637128 1274256 1743253 3486506 5229759 6973012 10459518 13946024 15689277 20919036 27892048 31378554 41838072 62757108 83676144 125514216 251028432