Search a number
-
+
695830464 = 263271931293
BaseRepresentation
bin101001011110011…
…000011111000000
31210111022211221200
4221132120133000
52411113033324
6153014021200
723146314150
oct5136303700
91714284850
10695830464
113278617aa
12175047800
13b120c604
14685b0760
154114bec9
hex297987c0

695830464 has 336 divisors, whose sum is σ = 2485217280. Its totient is φ = 181647360.

The previous prime is 695830463. The next prime is 695830489. The reversal of 695830464 is 464038596.

695830464 is a `hidden beast` number, since 6 + 9 + 583 + 0 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (695830463) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2374702 + ... + 2374994.

It is an arithmetic number, because the mean of its divisors is an integer number (7396480).

Almost surely, 2695830464 is an apocalyptic number.

695830464 is a gapful number since it is divisible by the number (64) 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 695830464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242608640).

695830464 is an abundant number, since it is smaller than the sum of its proper divisors (1789386816).

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

695830464 is a wasteful number, since it uses less digits than its factorization.

695830464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 695830464 is about 26378.5985981060. The cubic root of 695830464 is about 886.1375623566.

The spelling of 695830464 in words is "six hundred ninety-five million, eight hundred thirty thousand, four hundred sixty-four".