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25128972 = 223211233189
BaseRepresentation
bin101111111011…
…1000000001100
31202021200110200
41133313000030
522413111342
62254333500
7423410211
oct137670014
952250420
1025128972
1113203850
1284ba290
13528ab1b
1434a1b08
15231594c
hex17f700c

25128972 has 144 divisors (see below), whose sum is σ = 75479040. Its totient is φ = 6969600.

The previous prime is 25128947. The next prime is 25128977. The reversal of 25128972 is 27982152.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (25128977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282304 + ... + 282392.

It is an arithmetic number, because the mean of its divisors is an integer number (524160).

Almost surely, 225128972 is an apocalyptic number.

25128972 is a gapful number since it is divisible by the number (22) 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 25128972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37739520).

25128972 is an abundant number, since it is smaller than the sum of its proper divisors (50350068).

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

25128972 is a wasteful number, since it uses less digits than its factorization.

25128972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 159 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 25128972 is about 5012.8806089912. The cubic root of 25128972 is about 292.9037335127.

The spelling of 25128972 in words is "twenty-five million, one hundred twenty-eight thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 23 31 33 36 44 46 62 66 69 89 92 93 99 124 132 138 178 186 198 207 253 267 276 279 341 356 372 396 414 506 534 558 682 713 759 801 828 979 1012 1023 1068 1116 1364 1426 1518 1602 1958 2046 2047 2139 2277 2759 2852 2937 3036 3069 3204 3916 4092 4094 4278 4554 5518 5874 6138 6141 6417 7843 8188 8277 8556 8811 9108 11036 11748 12276 12282 12834 15686 16554 17622 18423 22517 23529 24564 24831 25668 30349 31372 33108 35244 36846 45034 47058 49662 60698 63457 67551 70587 73692 90068 91047 94116 99324 121396 126914 135102 141174 182094 190371 202653 253828 270204 273141 282348 364188 380742 405306 546282 571113 698027 761484 810612 1092564 1142226 1396054 2094081 2284452 2792108 4188162 6282243 8376324 12564486 25128972