Search a number
-
+
426432448 = 2613547937
BaseRepresentation
bin11001011010101…
…101011111000000
31002201102000100101
4121122231133000
51333131314243
6110151532144
713365421201
oct3132553700
91081360311
10426432448
111a978a012
12ba98a054
136a4677c0
14408c55a8
152768554d
hex196ad7c0

426432448 has 56 divisors (see below), whose sum is σ = 913934672. Its totient is φ = 196245504.

The previous prime is 426432361. The next prime is 426432451. The reversal of 426432448 is 844234624.

It is a super-3 number, since 3×4264324483 (a number of 27 digits) contains 333 as substring.

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, 454636 + ... + 455572.

It is an arithmetic number, because the mean of its divisors is an integer number (16320262).

Almost surely, 2426432448 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 426432448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456967336).

426432448 is an abundant number, since it is smaller than the sum of its proper divisors (487502224).

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

426432448 is a wasteful number, since it uses less digits than its factorization.

426432448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1509 (or 1499 counting only the distinct ones).

The product of its digits is 147456, while the sum is 37.

The square root of 426432448 is about 20650.2408702659. The cubic root of 426432448 is about 752.6910427628.

The spelling of 426432448 in words is "four hundred twenty-six million, four hundred thirty-two thousand, four hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 547 832 937 1094 1874 2188 3748 4376 7111 7496 8752 12181 14222 14992 17504 24362 28444 29984 35008 48724 56888 59968 97448 113776 194896 227552 389792 455104 512539 779584 1025078 2050156 4100312 6663007 8200624 13326014 16401248 26652028 32802496 53304056 106608112 213216224 426432448