Search a number
-
+
207649328 = 24193718461
BaseRepresentation
bin11000110000001…
…11101000110000
3112110201200022212
430120013220300
5411124234303
632334351252
75100663425
oct1430075060
9473650285
10207649328
11a7238017
125965b528
1334034c33
141d813d4c
151336aad8
hexc607a30

207649328 has 40 divisors (see below), whose sum is σ = 434964720. Its totient is φ = 95696640.

The previous prime is 207649327. The next prime is 207649331. The reversal of 207649328 is 823946702.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (207649327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2018 + ... + 20478.

It is an arithmetic number, because the mean of its divisors is an integer number (10874118).

Almost surely, 2207649328 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 207649328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217482360).

207649328 is an abundant number, since it is smaller than the sum of its proper divisors (227315392).

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

207649328 is a wasteful number, since it uses less digits than its factorization.

207649328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18525 (or 18519 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 41.

The square root of 207649328 is about 14410.0426092361. The cubic root of 207649328 is about 592.1660570200.

The spelling of 207649328 in words is "two hundred seven million, six hundred forty-nine thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 19 37 38 74 76 148 152 296 304 592 703 1406 2812 5624 11248 18461 36922 73844 147688 295376 350759 683057 701518 1366114 1403036 2732228 2806072 5464456 5612144 10928912 12978083 25956166 51912332 103824664 207649328