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25386240 = 283511601
BaseRepresentation
bin110000011010…
…1110100000000
31202202202101010
41200311310000
522444324430
62304040520
7425531235
oct140656400
952682333
1025386240
111336a070
128603140
13534ac59
14352b78c
152366cb0
hex1835d00

25386240 has 144 divisors (see below), whose sum is σ = 88595136. Its totient is φ = 6144000.

The previous prime is 25386197. The next prime is 25386247. The reversal of 25386240 is 4268352.

It is a super-2 number, since 2×253862402 = 1288922362675200, which contains 22 as substring.

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 = 25386198 and 25386207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25386247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41940 + ... + 42540.

It is an arithmetic number, because the mean of its divisors is an integer number (615244).

Almost surely, 225386240 is an apocalyptic number.

25386240 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 25386240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44297568).

25386240 is an abundant number, since it is smaller than the sum of its proper divisors (63208896).

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

25386240 is a wasteful number, since it uses less digits than its factorization.

25386240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 25386240 is about 5038.4759600498. The cubic root of 25386240 is about 293.8999150277.

It can be divided in two parts, 2538 and 6240, that added together give a palindrome (8778).

The spelling of 25386240 in words is "twenty-five million, three hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 64 66 80 88 96 110 120 128 132 160 165 176 192 220 240 256 264 320 330 352 384 440 480 528 601 640 660 704 768 880 960 1056 1202 1280 1320 1408 1760 1803 1920 2112 2404 2640 2816 3005 3520 3606 3840 4224 4808 5280 6010 6611 7040 7212 8448 9015 9616 10560 12020 13222 14080 14424 18030 19232 19833 21120 24040 26444 28848 33055 36060 38464 39666 42240 48080 52888 57696 66110 72120 76928 79332 96160 99165 105776 115392 132220 144240 153856 158664 192320 198330 211552 230784 264440 288480 317328 384640 396660 423104 461568 528880 576960 634656 769280 793320 846208 1057760 1153920 1269312 1586640 1692416 2115520 2307840 2538624 3173280 4231040 5077248 6346560 8462080 12693120 25386240