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25552128 = 2837397
BaseRepresentation
bin110000101111…
…0010100000000
31210002011221010
41201132110000
523020132003
62311400520
7430122000
oct141362400
953064833
1025552128
1113472768
128683140
1353a8604
143572000
15239b003
hex185e500

25552128 has 144 divisors (see below), whose sum is σ = 80124800. Its totient is φ = 7225344.

The previous prime is 25552123. The next prime is 25552147. The reversal of 25552128 is 82125552.

It is a super-2 number, since 2×255521282 = 1305822490656768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25552095 and 25552104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25552123) 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, 263376 + ... + 263472.

Almost surely, 225552128 is an apocalyptic number.

25552128 is a gapful number since it is divisible by the number (28) 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 25552128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40062400).

25552128 is an abundant number, since it is smaller than the sum of its proper divisors (54572672).

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

25552128 is an frugal number, since it uses more digits than its factorization.

25552128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137 (or 109 counting only the distinct ones).

The product of its digits is 8000, while the sum is 30.

The square root of 25552128 is about 5054.9112751857. The cubic root of 25552128 is about 294.5386948886.

The spelling of 25552128 in words is "twenty-five million, five hundred fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 97 98 112 128 147 168 192 194 196 224 256 291 294 336 343 384 388 392 448 582 588 672 679 686 768 776 784 896 1029 1164 1176 1344 1358 1372 1552 1568 1792 2037 2058 2328 2352 2688 2716 2744 3104 3136 4074 4116 4656 4704 4753 5376 5432 5488 6208 6272 8148 8232 9312 9408 9506 10864 10976 12416 12544 14259 16296 16464 18624 18816 19012 21728 21952 24832 28518 32592 32928 33271 37248 37632 38024 43456 43904 57036 65184 65856 66542 74496 76048 86912 87808 99813 114072 130368 131712 133084 152096 173824 199626 228144 260736 263424 266168 304192 399252 456288 521472 532336 608384 798504 912576 1064672 1216768 1597008 1825152 2129344 3194016 3650304 4258688 6388032 8517376 12776064 25552128