Search a number
-
+
25379328 = 293133141
BaseRepresentation
bin110000011010…
…0001000000000
31202202101220010
41200310020000
522444114303
62303544520
7425502132
oct140641000
952671803
1025379328
1113364957
1285bb140
135347a70
143529052
152364c03
hex1834200

25379328 has 160 divisors (see below), whose sum is σ = 76995072. Its totient is φ = 7372800.

The previous prime is 25379323. The next prime is 25379353. The reversal of 25379328 is 82397352.

It is a super-2 number, since 2×253793282 = 1288220579463168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (90720) is a multiple of the sum of its prime divisors (90).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25379323) 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, 618988 + ... + 619028.

Almost surely, 225379328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 25379328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38497536).

25379328 is an abundant number, since it is smaller than the sum of its proper divisors (51615744).

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

25379328 is a wasteful number, since it uses less digits than its factorization.

25379328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 90 counting only the distinct ones).

The product of its digits is 90720, while the sum is 39.

The square root of 25379328 is about 5037.7899916531. The cubic root of 25379328 is about 293.8732388886.

The spelling of 25379328 in words is "twenty-five million, three hundred seventy-nine thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 41 48 52 62 64 78 82 93 96 104 123 124 128 156 164 186 192 208 246 248 256 312 328 372 384 403 416 492 496 512 533 624 656 744 768 806 832 984 992 1066 1209 1248 1271 1312 1488 1536 1599 1612 1664 1968 1984 2132 2418 2496 2542 2624 2976 3198 3224 3328 3813 3936 3968 4264 4836 4992 5084 5248 5952 6396 6448 6656 7626 7872 7936 8528 9672 9984 10168 10496 11904 12792 12896 15252 15744 15872 16523 17056 19344 19968 20336 20992 23808 25584 25792 30504 31488 33046 34112 38688 40672 47616 49569 51168 51584 61008 62976 66092 68224 77376 81344 99138 102336 103168 122016 132184 136448 154752 162688 198276 204672 206336 244032 264368 272896 309504 325376 396552 409344 488064 528736 619008 650752 793104 818688 976128 1057472 1586208 1952256 2114944 3172416 4229888 6344832 8459776 12689664 25379328