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25135840 = 2551271237
BaseRepresentation
bin101111111100…
…0101011100000
31202022000220001
41133320223200
522413321330
62254425344
7423436222
oct137705340
952260801
1025135840
1113208a24
128502254
135290ca2
1434a4412
1523179ca
hex17f8ae0

25135840 has 48 divisors (see below), whose sum is σ = 59899392. Its totient is φ = 9967104.

The previous prime is 25135813. The next prime is 25135861. The reversal of 25135840 is 4853152.

It is a super-3 number, since 3×251358403 (a number of 23 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25135799 and 25135808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19702 + ... + 20938.

It is an arithmetic number, because the mean of its divisors is an integer number (1247904).

Almost surely, 225135840 is an apocalyptic number.

25135840 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 25135840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29949696).

25135840 is an abundant number, since it is smaller than the sum of its proper divisors (34763552).

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

25135840 is a wasteful number, since it uses less digits than its factorization.

25135840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 25135840 is about 5013.5655974566. The cubic root of 25135840 is about 292.9304155910.

Adding to 25135840 its reverse (4853152), we get a palindrome (29988992).

The spelling of 25135840 in words is "twenty-five million, one hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 127 160 254 508 635 1016 1237 1270 2032 2474 2540 4064 4948 5080 6185 9896 10160 12370 19792 20320 24740 39584 49480 98960 157099 197920 314198 628396 785495 1256792 1570990 2513584 3141980 5027168 6283960 12567920 25135840