Search a number
-
+
426019968 = 27321133619
BaseRepresentation
bin11001011001001…
…000110010000000
31002200122001112100
4121121020302000
51333030114333
6110135030400
713362052503
oct3131106200
91080561470
10426019968
111a9528120
12ba80b400
136a351b2a
144081913a
1527603213
hex19648c80

426019968 has 96 divisors (see below), whose sum is σ = 1337403600. Its totient is φ = 129093120.

The previous prime is 426019933. The next prime is 426019981. The reversal of 426019968 is 869910624.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4138 + ... + 29481.

Almost surely, 2426019968 is an apocalyptic number.

426019968 is a gapful number since it is divisible by the number (48) 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 426019968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668701800).

426019968 is an abundant number, since it is smaller than the sum of its proper divisors (911383632).

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

426019968 is a wasteful number, since it uses less digits than its factorization.

426019968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33650 (or 33635 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 426019968 is about 20640.2511612625. The cubic root of 426019968 is about 752.4482765595.

The spelling of 426019968 in words is "four hundred twenty-six million, nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 33619 67238 100857 134476 201714 268952 302571 369809 403428 537904 605142 739618 806856 1075808 1109427 1210284 1479236 1613712 2151616 2218854 2420568 2958472 3227424 3328281 4303232 4437708 4841136 5916944 6454848 6656562 8875416 9682272 11833888 12909696 13313124 17750832 19364544 23667776 26626248 35501664 38729088 47335552 53252496 71003328 106504992 142006656 213009984 426019968