Search a number
-
+
398255616 = 29361197
BaseRepresentation
bin10111101111001…
…110011000000000
31000202101111000000
4113233032120000
51303423134431
6103304000000
712604055043
oct2757163000
91022344000
10398255616
11194894380
12b1460000
1364680615
143ac6cc5a
1524e6b9e6
hex17bce600

398255616 has 280 divisors, whose sum is σ = 1314931464. Its totient is φ = 119439360.

The previous prime is 398255587. The next prime is 398255623. The reversal of 398255616 is 616552893.

398255616 is a `hidden beast` number, since 3 + 9 + 8 + 25 + 5 + 616 = 666.

Its product of digits (388800) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 4105680 + ... + 4105776.

Almost surely, 2398255616 is an apocalyptic number.

398255616 is a gapful number since it is divisible by the number (36) 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 398255616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657465732).

398255616 is an abundant number, since it is smaller than the sum of its proper divisors (916675848).

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

398255616 is an frugal number, since it uses more digits than its factorization.

398255616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 113 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 398255616 is about 19956.3427511155. The cubic root of 398255616 is about 735.7336780600.

The spelling of 398255616 in words is "three hundred ninety-eight million, two hundred fifty-five thousand, six hundred sixteen".