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425130336 = 25334311443
BaseRepresentation
bin11001010101101…
…111100101100000
31002121221212012000
4121111233211200
51332313132321
6110104004000
713351356021
oct3125574540
91077855160
10425130336
111a8a7a794
12ba460600
136a0ccc17
1440666c48
15274c9826
hex1956f960

425130336 has 96 divisors (see below), whose sum is σ = 1268910720. Its totient is φ = 138402432.

The previous prime is 425130323. The next prime is 425130359. The reversal of 425130336 is 633031524.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31431 + ... + 42873.

It is an arithmetic number, because the mean of its divisors is an integer number (13217820).

Almost surely, 2425130336 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 425130336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634455360).

425130336 is an abundant number, since it is smaller than the sum of its proper divisors (843780384).

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

425130336 is a wasteful number, since it uses less digits than its factorization.

425130336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11505 (or 11491 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 425130336 is about 20618.6889980910. The cubic root of 425130336 is about 751.9241473212.

The spelling of 425130336 in words is "four hundred twenty-five million, one hundred thirty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 86 96 108 129 144 172 216 258 288 344 387 432 516 688 774 864 1032 1161 1376 1548 2064 2322 3096 4128 4644 6192 9288 11443 12384 18576 22886 34329 37152 45772 68658 91544 102987 137316 183088 205974 274632 308961 366176 411948 492049 549264 617922 823896 984098 1098528 1235844 1476147 1647792 1968196 2471688 2952294 3295584 3936392 4428441 4943376 5904588 7872784 8856882 9886752 11809176 13285323 15745568 17713764 23618352 26570646 35427528 47236704 53141292 70855056 106282584 141710112 212565168 425130336