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25457340 = 223519137163
BaseRepresentation
bin110000100011…
…1001010111100
31202220100220110
41201013022330
523004113330
62305350020
7426245436
oct141071274
952810813
1025457340
1113408527
128638310
13537441c
143549656
15237cdb0
hex18472bc

25457340 has 96 divisors (see below), whose sum is σ = 76043520. Its totient is φ = 6345216.

The previous prime is 25457323. The next prime is 25457371. The reversal of 25457340 is 4375452.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 25457298 and 25457307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 156099 + ... + 156261.

It is an arithmetic number, because the mean of its divisors is an integer number (792120).

Almost surely, 225457340 is an apocalyptic number.

25457340 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 25457340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38021760).

25457340 is an abundant number, since it is smaller than the sum of its proper divisors (50586180).

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

25457340 is a wasteful number, since it uses less digits than its factorization.

25457340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 25457340 is about 5045.5267316703. The cubic root of 25457340 is about 294.1740373603.

The spelling of 25457340 in words is "twenty-five million, four hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 137 163 190 228 274 285 326 380 411 489 548 570 652 685 815 822 978 1140 1370 1630 1644 1956 2055 2445 2603 2740 3097 3260 4110 4890 5206 6194 7809 8220 9291 9780 10412 12388 13015 15485 15618 18582 22331 26030 30970 31236 37164 39045 44662 46455 52060 61940 66993 78090 89324 92910 111655 133986 156180 185820 223310 267972 334965 424289 446620 669930 848578 1272867 1339860 1697156 2121445 2545734 4242890 5091468 6364335 8485780 12728670 25457340