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825530088 = 2331937113433
BaseRepresentation
bin110001001101001…
…001011011101000
32010112101021101110
4301031021123220
53142313430323
6213525550320
726312614155
oct6115113350
92115337343
10825530088
11393a98a79
121b05753a0
13102051456
147b8d322c
154c71b793
hex313496e8

825530088 has 128 divisors (see below), whose sum is σ = 2256105600. Its totient is φ = 250822656.

The previous prime is 825530087. The next prime is 825530089. The reversal of 825530088 is 880035528.

It is an interprime number because it is at equal distance from previous prime (825530087) and next prime (825530089).

It is not an unprimeable number, because it can be changed into a prime (825530087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1906320 + ... + 1906752.

It is an arithmetic number, because the mean of its divisors is an integer number (17625825).

Almost surely, 2825530088 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 825530088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128052800).

825530088 is an abundant number, since it is smaller than the sum of its proper divisors (1430575512).

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

825530088 is a wasteful number, since it uses less digits than its factorization.

825530088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The square root of 825530088 is about 28732.0393985530. The cubic root of 825530088 is about 938.0895588418.

The spelling of 825530088 in words is "eight hundred twenty-five million, five hundred thirty thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 113 114 148 152 222 226 228 296 339 433 444 452 456 678 703 866 888 904 1299 1356 1406 1732 2109 2147 2598 2712 2812 3464 4181 4218 4294 5196 5624 6441 8227 8362 8436 8588 10392 12543 12882 16021 16454 16724 16872 17176 24681 25086 25764 32042 32908 33448 48063 48929 49362 50172 51528 64084 65816 79439 96126 97858 98724 100344 128168 146787 158878 192252 195716 197448 238317 293574 304399 317756 384504 391432 476634 587148 608798 635512 913197 929651 953268 1174296 1217596 1810373 1826394 1859302 1906536 2435192 2788953 3620746 3652788 3718604 5431119 5577906 7241492 7305576 7437208 10862238 11155812 14482984 21724476 22311624 34397087 43448952 68794174 103191261 137588348 206382522 275176696 412765044 825530088