Search a number
-
+
426149120 = 2855772
BaseRepresentation
bin11001011001101…
…000010100000000
31002200212121200202
4121121220110000
51333043232440
6110141504332
713363131155
oct3131502400
91080777622
10426149120
111a9606161
12ba8720a8
136a398857
144085022c
152762b615
hex19668500

426149120 has 54 divisors (see below), whose sum is σ = 1022532462. Its totient is φ = 170164224.

The previous prime is 426149117. The next prime is 426149161. The reversal of 426149120 is 21941624.

It can be written as a sum of positive squares in 3 ways, for example, as 310887424 + 115261696 = 17632^2 + 10736^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 738272 + ... + 738848.

Almost surely, 2426149120 is an apocalyptic number.

426149120 is a gapful number since it is divisible by the number (40) 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 426149120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511266231).

426149120 is an abundant number, since it is smaller than the sum of its proper divisors (596383342).

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

426149120 is an frugal number, since it uses more digits than its factorization.

426149120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1175 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 426149120 is about 20643.3795682781. The cubic root of 426149120 is about 752.5243061578.

The spelling of 426149120 in words is "four hundred twenty-six million, one hundred forty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 577 640 1154 1280 2308 2885 4616 5770 9232 11540 18464 23080 36928 46160 73856 92320 147712 184640 332929 369280 665858 738560 1331716 1664645 2663432 3329290 5326864 6658580 10653728 13317160 21307456 26634320 42614912 53268640 85229824 106537280 213074560 426149120