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426033024 = 2738313367
BaseRepresentation
bin11001011001001…
…011111110000000
31002200122201102220
4121121023332000
51333031024044
6110135211040
713362135534
oct3131137600
91080581386
10426033024
111a9536a0a
12ba816a80
136a357a61
144081dbc4
1527607019
hex1964bf80

426033024 has 64 divisors (see below), whose sum is σ = 1145370240. Its totient is φ = 140289536.

The previous prime is 426033001. The next prime is 426033053. The reversal of 426033024 is 420330624.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 426032985 and 426033003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25189 + ... + 38555.

It is an arithmetic number, because the mean of its divisors is an integer number (17896410).

Almost surely, 2426033024 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 426033024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572685120).

426033024 is an abundant number, since it is smaller than the sum of its proper divisors (719337216).

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

426033024 is a wasteful number, since it uses less digits than its factorization.

426033024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13467 (or 13455 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

The square root of 426033024 is about 20640.5674340605. The cubic root of 426033024 is about 752.4559631040.

Adding to 426033024 its reverse (420330624), we get a palindrome (846363648).

The spelling of 426033024 in words is "four hundred twenty-six million, thirty-three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 332 384 498 664 996 1328 1992 2656 3984 5312 7968 10624 13367 15936 26734 31872 40101 53468 80202 106936 160404 213872 320808 427744 641616 855488 1109461 1283232 1710976 2218922 2566464 3328383 4437844 5132928 6656766 8875688 13313532 17751376 26627064 35502752 53254128 71005504 106508256 142011008 213016512 426033024