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5258108088 = 2333291974261
BaseRepresentation
bin1001110010110100…
…00101110010111000
3111120110001120022000
410321122011302320
541232033424323
62225431301000
7244205116122
oct47132056270
914513046260
105258108088
112259079482
121028b1a760
1365a47c97c
1437c48c212
1520b93ce43
hex139685cb8

5258108088 has 128 divisors (see below), whose sum is σ = 15189768000. Its totient is φ = 1683279360.

The previous prime is 5258108083. The next prime is 5258108129. The reversal of 5258108088 is 8808018525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5258108083) 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, 1231878 + ... + 1236138.

Almost surely, 25258108088 is an apocalyptic number.

5258108088 is a gapful number since it is divisible by the number (58) 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 5258108088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7594884000).

5258108088 is an abundant number, since it is smaller than the sum of its proper divisors (9931659912).

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

5258108088 is a wasteful number, since it uses less digits than its factorization.

5258108088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4502 (or 4492 counting only the distinct ones).

The product of its (nonzero) digits is 204800, while the sum is 45.

The square root of 5258108088 is about 72512.8132677253. The cubic root of 5258108088 is about 1738.9075901670.

The spelling of 5258108088 in words is "five billion, two hundred fifty-eight million, one hundred eight thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 197 216 232 261 348 394 522 591 696 783 788 1044 1182 1566 1576 1773 2088 2364 3132 3546 4261 4728 5319 5713 6264 7092 8522 10638 11426 12783 14184 17044 17139 21276 22852 25566 34088 34278 38349 42552 45704 51132 51417 68556 76698 102264 102834 115047 123569 137112 153396 154251 205668 230094 247138 306792 308502 370707 411336 460188 494276 617004 741414 839417 920376 988552 1112121 1234008 1482828 1678834 2224242 2518251 2965656 3336363 3357668 4448484 5036502 6672726 6715336 7554753 8896968 10073004 13345452 15109506 20146008 22664259 24343093 26690904 30219012 45328518 48686186 60438024 73029279 90657036 97372372 146058558 181314072 194744744 219087837 292117116 438175674 584234232 657263511 876351348 1314527022 1752702696 2629054044 5258108088