Search a number
-
+
325162728 = 2333111071279
BaseRepresentation
bin10011011000011…
…001011011101000
3211122211222102000
4103120121123220
51131220201403
652133211000
711025560202
oct2330313350
9748758360
10325162728
11157600630
1290a90a60
135249b0a7
1431283772
151d82e7a3
hex136196e8

325162728 has 128 divisors (see below), whose sum is σ = 995328000. Its totient is φ = 97536960.

The previous prime is 325162711. The next prime is 325162763. The reversal of 325162728 is 827261523.

325162728 is a `hidden beast` number, since 3 + 2 + 5 + 1 + 627 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 325162692 and 325162701.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 253593 + ... + 254871.

It is an arithmetic number, because the mean of its divisors is an integer number (7776000).

Almost surely, 2325162728 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 325162728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497664000).

325162728 is an abundant number, since it is smaller than the sum of its proper divisors (670165272).

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

325162728 is a wasteful number, since it uses less digits than its factorization.

325162728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1412 (or 1402 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 325162728 is about 18032.2690751885. The cubic root of 325162728 is about 687.6491642401.

The spelling of 325162728 in words is "three hundred twenty-five million, one hundred sixty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 107 108 132 198 214 216 264 297 321 396 428 594 642 792 856 963 1177 1188 1279 1284 1926 2354 2376 2558 2568 2889 3531 3837 3852 4708 5116 5778 7062 7674 7704 9416 10232 10593 11511 11556 14069 14124 15348 21186 23022 23112 28138 28248 30696 31779 34533 42207 42372 46044 56276 63558 69066 84414 84744 92088 112552 126621 127116 136853 138132 168828 253242 254232 273706 276264 337656 379863 410559 506484 547412 759726 821118 1012968 1094824 1231677 1505383 1519452 1642236 2463354 3010766 3038904 3284472 3695031 4516149 4926708 6021532 7390062 9032298 9853416 12043064 13548447 14780124 18064596 27096894 29560248 36129192 40645341 54193788 81290682 108387576 162581364 325162728