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890502096 = 2431110915473
BaseRepresentation
bin110101000100111…
…111101111010000
32022001122012020010
4311010333233100
53310432031341
6224210314520
731032100011
oct6504775720
92261565203
10890502096
11417735450
1220a288a40
1311264c523
14863a7008
15532a2716
hex3513fbd0

890502096 has 80 divisors (see below), whose sum is σ = 2532784320. Its totient is φ = 267356160.

The previous prime is 890502077. The next prime is 890502097. The reversal of 890502096 is 690205098.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890502097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49816 + ... + 65288.

It is an arithmetic number, because the mean of its divisors is an integer number (31659804).

Almost surely, 2890502096 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 890502096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1266392160).

890502096 is an abundant number, since it is smaller than the sum of its proper divisors (1642282224).

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

890502096 is a wasteful number, since it uses less digits than its factorization.

890502096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15604 (or 15598 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 890502096 is about 29841.2817419091. The cubic root of 890502096 is about 962.0810238305.

The spelling of 890502096 in words is "eight hundred ninety million, five hundred two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 109 132 176 218 264 327 436 528 654 872 1199 1308 1744 2398 2616 3597 4796 5232 7194 9592 14388 15473 19184 28776 30946 46419 57552 61892 92838 123784 170203 185676 247568 340406 371352 510609 680812 742704 1021218 1361624 1686557 2042436 2723248 3373114 4084872 5059671 6746228 8169744 10119342 13492456 18552127 20238684 26984912 37104254 40477368 55656381 74208508 80954736 111312762 148417016 222625524 296834032 445251048 890502096