Search a number
-
+
325789152 = 25313281929
BaseRepresentation
bin10011011010110…
…010010111100000
3211201000210200220
4103122302113200
51131400223102
652154443040
711034106413
oct2332622740
9751023626
10325789152
11157999237
1291133480
135265a260
14313a7b7a
151d9051bc
hex136b25e0

325789152 has 96 divisors (see below), whose sum is σ = 925253280. Its totient is φ = 99778560.

The previous prime is 325789141. The next prime is 325789153. The reversal of 325789152 is 251987523.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×3257891522 = 212277143121758208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (325789153) 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, 350224 + ... + 351152.

It is an arithmetic number, because the mean of its divisors is an integer number (9638055).

Almost surely, 2325789152 is an apocalyptic number.

325789152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 325789152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462626640).

325789152 is an abundant number, since it is smaller than the sum of its proper divisors (599464128).

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

325789152 is a wasteful number, since it uses less digits than its factorization.

325789152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1228 counting only the distinct ones).

The product of its digits is 151200, while the sum is 42.

The square root of 325789152 is about 18049.6302455203. The cubic root of 325789152 is about 688.0904649386.

The spelling of 325789152 in words is "three hundred twenty-five million, seven hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 281 312 416 562 624 843 929 1124 1248 1686 1858 2248 2787 3372 3653 3716 4496 5574 6744 7306 7432 8992 10959 11148 12077 13488 14612 14864 21918 22296 24154 26976 29224 29728 36231 43836 44592 48308 58448 72462 87672 89184 96616 116896 144924 175344 193232 261049 289848 350688 386464 522098 579696 783147 1044196 1159392 1566294 2088392 3132588 3393637 4176784 6265176 6787274 8353568 10180911 12530352 13574548 20361822 25060704 27149096 40723644 54298192 81447288 108596384 162894576 325789152