Search a number
-
+
435290112 = 2173441
BaseRepresentation
bin11001111100100…
…000000000000000
31010100002000210000
4121330200000000
51342413240422
6111105440000
713533622245
oct3174400000
91110060700
10435290112
112037899a4
12101940000
136c24941a
1441b4d5cc
1528334cac
hex19f20000

435290112 has 180 divisors, whose sum is σ = 1332210726. Its totient is φ = 141557760.

The previous prime is 435290101. The next prime is 435290131. The reversal of 435290112 is 211092534.

It can be written as a sum of positive squares in only one way, i.e., 429981696 + 5308416 = 20736^2 + 2304^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10616812 + ... + 10616852.

Almost surely, 2435290112 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 435290112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (666105363).

435290112 is an abundant number, since it is smaller than the sum of its proper divisors (896920614).

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

435290112 is an frugal number, since it uses more digits than its factorization.

435290112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 435290112 is about 20863.6073582686. The cubic root of 435290112 is about 757.8668902049.

The spelling of 435290112 in words is "four hundred thirty-five million, two hundred ninety thousand, one hundred twelve".