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325053216 = 25331919801
BaseRepresentation
bin10011010111111…
…110101100100000
3211122122102012000
4103113332230200
51131203200331
652131004000
711024623005
oct2327765440
9748572160
10325053216
11157536324
1290a39600
13524602a7
14312558ac
151d80c0e6
hex135feb20

325053216 has 96 divisors (see below), whose sum is σ = 998020800. Its totient is φ = 102643200.

The previous prime is 325053203. The next prime is 325053217. The reversal of 325053216 is 612350523.

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

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 325053216.

It is not an unprimeable number, because it can be changed into a prime (325053217) 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, 6516 + ... + 26316.

It is an arithmetic number, because the mean of its divisors is an integer number (10396050).

Almost surely, 2325053216 is an apocalyptic number.

325053216 is a gapful number since it is divisible by the number (36) 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 325053216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (499010400).

325053216 is an abundant number, since it is smaller than the sum of its proper divisors (672967584).

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

325053216 is a wasteful number, since it uses less digits than its factorization.

325053216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19839 (or 19825 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 325053216 is about 18029.2322631886. The cubic root of 325053216 is about 687.5719574710.

It can be divided in two parts, 32505 and 3216, that added together give a square (35721 = 1892).

The spelling of 325053216 in words is "three hundred twenty-five million, fifty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 19801 39602 59403 79204 118806 158408 178209 237612 316816 356418 376219 475224 534627 633632 712836 752438 950448 1069254 1128657 1425672 1504876 1900896 2138508 2257314 2851344 3009752 3385971 4277016 4514628 5702688 6019504 6771942 8554032 9029256 10157913 12039008 13543884 17108064 18058512 20315826 27087768 36117024 40631652 54175536 81263304 108351072 162526608 325053216