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425983950 = 232527219319
BaseRepresentation
bin11001011000111…
…111111111001110
31002200120020010100
4121120333333032
51333022441300
6110134151530
713361542500
oct3130777716
91080506110
10425983950
111a9503057
12ba7b25a6
136a33b612
1440809d70
15275e7700
hex1963ffce

425983950 has 108 divisors (see below), whose sum is σ = 1331399160. Its totient is φ = 97362720.

The previous prime is 425983931. The next prime is 425983951. The reversal of 425983950 is 59389524.

425983950 is a `hidden beast` number, since 4 + 2 + 598 + 3 + 9 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 425983896 and 425983905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (425983951) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 12391 + ... + 31709.

It is an arithmetic number, because the mean of its divisors is an integer number (12327770).

Almost surely, 2425983950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425983950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665699580).

425983950 is an abundant number, since it is smaller than the sum of its proper divisors (905415210).

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

425983950 is a wasteful number, since it uses less digits than its factorization.

425983950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19351 (or 19336 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 425983950 is about 20639.3786243675. The cubic root of 425983950 is about 752.4270706319.

It can be divided in two parts, 4259 and 83950, that added together give a square (88209 = 2972).

The spelling of 425983950 in words is "four hundred twenty-five million, nine hundred eighty-three thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 49 50 63 70 75 90 98 105 126 147 150 175 210 225 245 294 315 350 441 450 490 525 630 735 882 1050 1225 1470 1575 2205 2450 3150 3675 4410 7350 11025 19319 22050 38638 57957 96595 115914 135233 173871 193190 270466 289785 347742 405699 482975 579570 676165 811398 869355 946631 965950 1217097 1352330 1448925 1738710 1893262 2028495 2434194 2839893 2897850 3380825 4056990 4346775 4733155 5679786 6085485 6761650 8519679 8693550 9466310 10142475 12170970 14199465 17039358 20284950 23665775 28398930 30427425 42598395 47331550 60854850 70997325 85196790 141994650 212991975 425983950