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10425828 = 2237317149
BaseRepresentation
bin100111110001…
…010111100100
3201121200112210
4213301113210
510132111303
61011243420
7154422000
oct47612744
921550483
1010425828
115981096
1235a9570
13221063a
141555700
15dae203
hex9f15e4

10425828 has 96 divisors (see below), whose sum is σ = 30240000. Its totient is φ = 2784768.

The previous prime is 10425799. The next prime is 10425829. The reversal of 10425828 is 82852401.

It is a junction number, because it is equal to n+sod(n) for n = 10425795 and 10425804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10425829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69898 + ... + 70046.

It is an arithmetic number, because the mean of its divisors is an integer number (315000).

Almost surely, 210425828 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 10425828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15120000).

10425828 is an abundant number, since it is smaller than the sum of its proper divisors (19814172).

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

10425828 is a wasteful number, since it uses less digits than its factorization.

10425828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 10425828 is about 3228.9050775766. The cubic root of 10425828 is about 218.4591227181.

The spelling of 10425828 in words is "ten million, four hundred twenty-five thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 49 51 68 84 98 102 119 147 149 196 204 238 294 298 343 357 447 476 588 596 686 714 833 894 1029 1043 1372 1428 1666 1788 2058 2086 2499 2533 3129 3332 4116 4172 4998 5066 5831 6258 7301 7599 9996 10132 11662 12516 14602 15198 17493 17731 21903 23324 29204 30396 34986 35462 43806 51107 53193 69972 70924 87612 102214 106386 124117 153321 204428 212772 248234 306642 372351 496468 613284 744702 868819 1489404 1737638 2606457 3475276 5212914 10425828