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25052328 = 233572263
BaseRepresentation
bin101111110010…
…0010010101000
31202010210100000
41133210102220
522403133303
62252543000
7422640600
oct137442250
952123300
1025052328
1113161204
128481a60
135261c82
143481c00
1522ecda3
hex17e44a8

25052328 has 144 divisors (see below), whose sum is σ = 82162080. Its totient is φ = 7130592.

The previous prime is 25052327. The next prime is 25052329. The reversal of 25052328 is 82325052.

It is an interprime number because it is at equal distance from previous prime (25052327) and next prime (25052329).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (25052323) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 95125 + ... + 95387.

It is an arithmetic number, because the mean of its divisors is an integer number (570570).

Almost surely, 225052328 is an apocalyptic number.

25052328 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 25052328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41081040).

25052328 is an abundant number, since it is smaller than the sum of its proper divisors (57109752).

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

25052328 is a wasteful number, since it uses less digits than its factorization.

25052328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 25052328 is about 5005.2300646424. The cubic root of 25052328 is about 292.6056423139.

The spelling of 25052328 in words is "twenty-five million, fifty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 243 252 263 294 324 378 392 441 486 504 526 567 588 648 756 789 882 972 1052 1134 1176 1323 1512 1578 1701 1764 1841 1944 2104 2268 2367 2646 3156 3402 3528 3682 3969 4536 4734 5292 5523 6312 6804 7101 7364 7938 9468 10584 11046 11907 12887 13608 14202 14728 15876 16569 18936 21303 22092 23814 25774 28404 31752 33138 38661 42606 44184 47628 49707 51548 56808 63909 66276 77322 85212 95256 99414 103096 115983 127818 132552 149121 154644 170424 198828 231966 255636 298242 309288 347949 397656 447363 463932 511272 596484 695898 894726 927864 1043847 1192968 1391796 1789452 2087694 2783592 3131541 3578904 4175388 6263082 8350776 12526164 25052328