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25748840 = 235133293
BaseRepresentation
bin110001000111…
…0010101101000
31210110011202202
41202032111220
523042430330
62315515332
7431601335
oct142162550
953404682
1025748840
1113597537
128758b48
135447000
1435c398c
1523d9445
hex188e568

25748840 has 64 divisors (see below), whose sum is σ = 62974800. Its totient is φ = 9474816.

The previous prime is 25748813. The next prime is 25748843. The reversal of 25748840 is 4884752.

It can be written as a sum of positive squares in 8 ways, for example, as 3364 + 25745476 = 58^2 + 5074^2 .

It is a super-2 number, since 2×257488402 = 1326005522691200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25748794 and 25748803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25748843) 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 15 ways as a sum of consecutive naturals, for example, 87734 + ... + 88026.

Almost surely, 225748840 is an apocalyptic number.

25748840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

25748840 is the 2930-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25748840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31487400).

25748840 is an abundant number, since it is smaller than the sum of its proper divisors (37225960).

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

25748840 is a wasteful number, since it uses less digits than its factorization.

25748840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 25748840 is about 5074.3314830626. The cubic root of 25748840 is about 295.2925948809.

The spelling of 25748840 in words is "twenty-five million, seven hundred forty-eight thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 293 338 520 586 676 845 1172 1352 1465 1690 2197 2344 2930 3380 3809 4394 5860 6760 7618 8788 10985 11720 15236 17576 19045 21970 30472 38090 43940 49517 76180 87880 99034 152360 198068 247585 396136 495170 643721 990340 1287442 1980680 2574884 3218605 5149768 6437210 12874420 25748840