Search a number
-
+
264198672 = 2434203857
BaseRepresentation
bin11111011111101…
…01101000010000
3200102010200110000
433233311220100
51020113324142
642114410000
76355436343
oct1757655020
9612120400
10264198672
11126151411
1274590900
134297439a
142713445a
15182db14c
hexfbf5a10

264198672 has 50 divisors (see below), whose sum is σ = 764671358. Its totient is φ = 88065792.

The previous prime is 264198661. The next prime is 264198689. The reversal of 264198672 is 276891462.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 159668496 + 104530176 = 12636^2 + 10224^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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, 100633 + ... + 103224.

Almost surely, 2264198672 is an apocalyptic number.

It is an amenable number.

264198672 is an abundant number, since it is smaller than the sum of its proper divisors (500472686).

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

264198672 is a wasteful number, since it uses less digits than its factorization.

264198672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203877 (or 203862 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 264198672 is about 16254.1893676676. The cubic root of 264198672 is about 641.6677466746.

The spelling of 264198672 in words is "two hundred sixty-four million, one hundred ninety-eight thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 203857 407714 611571 815428 1223142 1630856 1834713 2446284 3261712 3669426 4892568 5504139 7338852 9785136 11008278 14677704 16512417 22016556 29355408 33024834 44033112 66049668 88066224 132099336 264198672