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25596090 = 232513131167
BaseRepresentation
bin110000110100…
…1000010111010
31210011102020100
41201221002322
523023033330
62312340230
7430364112
oct141510272
953142210
1025596090
11134a27a3
1286a4676
1353c2620
143584042
1523a9060
hex18690ba

25596090 has 96 divisors (see below), whose sum is σ = 72648576. Its totient is φ = 6215040.

The previous prime is 25596073. The next prime is 25596091. The reversal of 25596090 is 9069552.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (25596091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 153187 + ... + 153353.

It is an arithmetic number, because the mean of its divisors is an integer number (756756).

Almost surely, 225596090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25596090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36324288).

25596090 is an abundant number, since it is smaller than the sum of its proper divisors (47052486).

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

25596090 is a wasteful number, since it uses less digits than its factorization.

25596090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 25596090 is about 5059.2578507129. The cubic root of 25596090 is about 294.7075143740.

It can be divided in two parts, 2559 and 6090, that added together give a square (8649 = 932).

The spelling of 25596090 in words is "twenty-five million, five hundred ninety-six thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 131 167 195 234 262 334 390 393 501 585 655 786 835 1002 1170 1179 1310 1503 1670 1703 1965 2171 2358 2505 3006 3406 3930 4342 5010 5109 5895 6513 7515 8515 10218 10855 11790 13026 15030 15327 17030 19539 21710 21877 25545 30654 32565 39078 43754 51090 65130 65631 76635 97695 109385 131262 153270 195390 196893 218770 284401 328155 393786 568802 656310 853203 984465 1422005 1706406 1968930 2559609 2844010 4266015 5119218 8532030 12798045 25596090