Search a number
-
+
426025424 = 241141431373
BaseRepresentation
bin11001011001001…
…010000111010000
31002200122100000102
4121121022013100
51333030303144
6110135111532
713362104426
oct3131120720
91080570012
10426025424
111a9531230
12ba8125a8
136a354466
144081b116
1527604b4e
hex1964a1d0

426025424 has 80 divisors (see below), whose sum is σ = 944564544. Its totient is φ = 184396800.

The previous prime is 426025421. The next prime is 426025427. The reversal of 426025424 is 424520624.

It is an interprime number because it is at equal distance from previous prime (426025421) and next prime (426025427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (426025421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 309602 + ... + 310974.

Almost surely, 2426025424 is an apocalyptic number.

426025424 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 426025424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472282272).

426025424 is an abundant number, since it is smaller than the sum of its proper divisors (518539120).

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

426025424 is a wasteful number, since it uses less digits than its factorization.

426025424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1470 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 426025424 is about 20640.3833297737. The cubic root of 426025424 is about 752.4514887253.

The spelling of 426025424 in words is "four hundred twenty-six million, twenty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 41 43 44 82 86 88 164 172 176 328 344 451 473 656 688 902 946 1373 1763 1804 1892 2746 3526 3608 3784 5492 7052 7216 7568 10984 14104 15103 19393 21968 28208 30206 38786 56293 59039 60412 77572 112586 118078 120824 155144 225172 236156 241648 310288 450344 472312 619223 649429 900688 944624 1238446 1298858 2420599 2476892 2597716 4841198 4953784 5195432 9682396 9907568 10390864 19364792 26626589 38729584 53253178 106506356 213012712 426025424