Search a number
-
+
251428604 = 2273401457
BaseRepresentation
bin11101111110001…
…11111011111100
3122112002220012112
432333013323330
51003331203404
640540553152
76142052000
oct1677077374
9575086175
10251428604
11119a1a039
12702527b8
1340122a2b
142556c700
151711756e
hexefc7efc

251428604 has 48 divisors (see below), whose sum is σ = 515524800. Its totient is φ = 107251200.

The previous prime is 251428603. The next prime is 251428607. The reversal of 251428604 is 406824152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251428601) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549944 + ... + 550400.

It is an arithmetic number, because the mean of its divisors is an integer number (10740100).

Almost surely, 2251428604 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 251428604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257762400).

251428604 is an abundant number, since it is smaller than the sum of its proper divisors (264096196).

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

251428604 is a wasteful number, since it uses less digits than its factorization.

251428604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 883 (or 867 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

The square root of 251428604 is about 15856.5003705105. The cubic root of 251428604 is about 631.1581986686.

The spelling of 251428604 in words is "two hundred fifty-one million, four hundred twenty-eight thousand, six hundred four".

Divisors: 1 2 4 7 14 28 49 98 196 343 401 457 686 802 914 1372 1604 1828 2807 3199 5614 6398 11228 12796 19649 22393 39298 44786 78596 89572 137543 156751 183257 275086 313502 366514 550172 627004 733028 1282799 2565598 5131196 8979593 17959186 35918372 62857151 125714302 251428604