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25293216 = 2531321559
BaseRepresentation
bin110000001111…
…1000110100000
31202121000202210
41200133012200
522433340331
62302042120
7424663104
oct140370640
952530683
1025293216
1113306193
128579340
135317800
143505904
152349446
hex181f1a0

25293216 has 72 divisors (see below), whose sum is σ = 71940960. Its totient is φ = 7777536.

The previous prime is 25293211. The next prime is 25293221. The reversal of 25293216 is 61239252.

It is an interprime number because it is at equal distance from previous prime (25293211) and next prime (25293221).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25293211) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15445 + ... + 17003.

It is an arithmetic number, because the mean of its divisors is an integer number (999180).

Almost surely, 225293216 is an apocalyptic number.

25293216 is a gapful number since it is divisible by the number (26) 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 25293216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35970480).

25293216 is an abundant number, since it is smaller than the sum of its proper divisors (46647744).

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

25293216 is a wasteful number, since it uses less digits than its factorization.

25293216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1598 (or 1577 counting only the distinct ones).

The product of its digits is 6480, while the sum is 30.

The square root of 25293216 is about 5029.2361249001. The cubic root of 25293216 is about 293.5404918658.

The spelling of 25293216 in words is "twenty-five million, two hundred ninety-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 169 208 312 338 416 507 624 676 1014 1248 1352 1559 2028 2704 3118 4056 4677 5408 6236 8112 9354 12472 16224 18708 20267 24944 37416 40534 49888 60801 74832 81068 121602 149664 162136 243204 263471 324272 486408 526942 648544 790413 972816 1053884 1580826 1945632 2107768 3161652 4215536 6323304 8431072 12646608 25293216