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25426100 = 2252725189
BaseRepresentation
bin110000011111…
…1100010110100
31202211210001102
41200333202310
523002113400
62304545232
7426055400
oct140774264
952753042
1025426100
1113397007
128622218
13536313b
14353c100
1523739d5
hex183f8b4

25426100 has 54 divisors (see below), whose sum is σ = 64195110. Its totient is φ = 8715840.

The previous prime is 25426091. The next prime is 25426117. The reversal of 25426100 is 162452.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3952144 + 21473956 = 1988^2 + 4634^2 .

It is a super-2 number, since 2×254261002 = 1292973122420000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2306 + ... + 7494.

Almost surely, 225426100 is an apocalyptic number.

25426100 is a gapful number since it is divisible by the number (20) 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 25426100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32097555).

25426100 is an abundant number, since it is smaller than the sum of its proper divisors (38769010).

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

25426100 is a wasteful number, since it uses less digits than its factorization.

25426100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5217 (or 5203 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 25426100 is about 5042.4299697666. The cubic root of 25426100 is about 294.0536561178.

Adding to 25426100 its reverse (162452), we get a palindrome (25588552).

The spelling of 25426100 in words is "twenty-five million, four hundred twenty-six thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 350 490 700 980 1225 2450 4900 5189 10378 20756 25945 36323 51890 72646 103780 129725 145292 181615 254261 259450 363230 508522 518900 726460 908075 1017044 1271305 1816150 2542610 3632300 5085220 6356525 12713050 25426100