Search a number
-
+
239428416 = 2636120443
BaseRepresentation
bin11100100010101…
…10001101000000
3121200112020001010
432101112031000
5442243202131
635431440520
75635052013
oct1621261500
9550466033
10239428416
11113173127
1268226140
133a7b0926
1423b2737a
1516046b46
hexe456340

239428416 has 56 divisors (see below), whose sum is σ = 643904224. Its totient is φ = 78497280.

The previous prime is 239428373. The next prime is 239428433. The reversal of 239428416 is 614824932.

It is a congruent number.

It is an unprimeable number.

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, 1491 + ... + 21933.

Almost surely, 2239428416 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 239428416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321952112).

239428416 is an abundant number, since it is smaller than the sum of its proper divisors (404475808).

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

239428416 is a wasteful number, since it uses less digits than its factorization.

239428416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20519 (or 20509 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 239428416 is about 15473.4745936393. The cubic root of 239428416 is about 620.9527633587.

The spelling of 239428416 in words is "two hundred thirty-nine million, four hundred twenty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 183 192 244 366 488 732 976 1464 1952 2928 3904 5856 11712 20443 40886 61329 81772 122658 163544 245316 327088 490632 654176 981264 1247023 1308352 1962528 2494046 3741069 3925056 4988092 7482138 9976184 14964276 19952368 29928552 39904736 59857104 79809472 119714208 239428416