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425311644 = 2231753139283
BaseRepresentation
bin11001010110011…
…011110110011100
31002122022001220010
4121112123312130
51332334433034
6110111523220
713353042432
oct3126336634
91078261803
10425311644
111a9093a2a
12ba529510
136a1645c4
14406b2d52
15275133e9
hex1959bd9c

425311644 has 96 divisors (see below), whose sum is σ = 1082108160. Its totient is φ = 129512448.

The previous prime is 425311643. The next prime is 425311657. The reversal of 425311644 is 446113524.

It is a super-3 number, since 3×4253116443 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425311643) 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 31 ways as a sum of consecutive naturals, for example, 1502727 + ... + 1503009.

It is an arithmetic number, because the mean of its divisors is an integer number (11271960).

Almost surely, 2425311644 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 425311644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541054080).

425311644 is an abundant number, since it is smaller than the sum of its proper divisors (656796516).

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

425311644 is a wasteful number, since it uses less digits than its factorization.

425311644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 497 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 425311644 is about 20623.0852202089. The cubic root of 425311644 is about 752.0310247310.

The spelling of 425311644 in words is "four hundred twenty-five million, three hundred eleven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 12 17 34 51 53 68 102 106 139 159 204 212 278 283 318 417 556 566 636 834 849 901 1132 1668 1698 1802 2363 2703 3396 3604 4726 4811 5406 7089 7367 9452 9622 10812 14178 14433 14734 14999 19244 22101 28356 28866 29468 29998 39337 44202 44997 57732 59996 78674 88404 89994 118011 125239 157348 179988 236022 250478 254983 375717 472044 500956 509966 668729 751434 764949 1019932 1337458 1502868 1529898 2006187 2084861 2674916 3059796 4012374 4169722 6254583 8024748 8339444 12509166 25018332 35442637 70885274 106327911 141770548 212655822 425311644