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325988000 = 2553136269
BaseRepresentation
bin10011011011100…
…010111010100000
3211201101220110122
4103123202322200
51131423104000
652203015412
711035565222
oct2333427240
9751356418
10325988000
11158014678
129120a568
13526c9910
143141a412
151d944085
hex136e2ea0

325988000 has 96 divisors (see below), whose sum is σ = 862701840. Its totient is φ = 120345600.

The previous prime is 325987999. The next prime is 325988009. The reversal of 325988000 is 889523.

It can be written as a sum of positive squares in 8 ways, for example, as 3857296 + 322130704 = 1964^2 + 17948^2 .

It is a super-2 number, since 2×3259880002 = 212536352288000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (325988009) 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, 48866 + ... + 55134.

Almost surely, 2325988000 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 325988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431350920).

325988000 is an abundant number, since it is smaller than the sum of its proper divisors (536713840).

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

325988000 is a wasteful number, since it uses less digits than its factorization.

325988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6307 (or 6289 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 325988000 is about 18055.1377729443. The cubic root of 325988000 is about 688.2304302954.

The spelling of 325988000 in words is "three hundred twenty-five million, nine hundred eighty-eight thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 65 80 100 104 125 130 160 200 208 250 260 325 400 416 500 520 650 800 1000 1040 1300 1625 2000 2080 2600 3250 4000 5200 6269 6500 10400 12538 13000 25076 26000 31345 50152 52000 62690 81497 100304 125380 156725 162994 200608 250760 313450 325988 407485 501520 626900 651976 783625 814970 1003040 1253800 1303952 1567250 1629940 2037425 2507600 2607904 3134500 3259880 4074850 5015200 6269000 6519760 8149700 10187125 12538000 13039520 16299400 20374250 25076000 32598800 40748500 65197600 81497000 162994000 325988000