Search a number
-
+
426513696 = 25371913323
BaseRepresentation
bin11001011011000…
…001010100100000
31002201120010210120
4121123001110200
51333141414241
6110153400240
713366210110
oct3133012440
91081503716
10426513696
111a9835064
12baa09080
136a49578b
1440907040
152769e666
hex196c1520

426513696 has 96 divisors (see below), whose sum is σ = 1286627328. Its totient is φ = 121186560.

The previous prime is 426513683. The next prime is 426513713. The reversal of 426513696 is 696315624.

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

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126691 + ... + 130013.

It is an arithmetic number, because the mean of its divisors is an integer number (13402368).

Almost surely, 2426513696 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 426513696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643313664).

426513696 is an abundant number, since it is smaller than the sum of its proper divisors (860113632).

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

426513696 is a wasteful number, since it uses less digits than its factorization.

426513696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534 (or 3526 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 426513696 is about 20652.2080175462. The cubic root of 426513696 is about 752.7388430327.

The spelling of 426513696 in words is "four hundred twenty-six million, five hundred thirteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 191 224 336 382 573 672 764 1146 1337 1528 2292 2674 3056 3323 4011 4584 5348 6112 6646 8022 9168 9969 10696 13292 16044 18336 19938 21392 23261 26584 32088 39876 42784 46522 53168 64176 69783 79752 93044 106336 128352 139566 159504 186088 279132 319008 372176 558264 634693 744352 1116528 1269386 1904079 2233056 2538772 3808158 4442851 5077544 7616316 8885702 10155088 13328553 15232632 17771404 20310176 26657106 30465264 35542808 53314212 60930528 71085616 106628424 142171232 213256848 426513696