Search a number
-
+
424080288 = 25321472501
BaseRepresentation
bin11001010001101…
…111001110100000
31002112222111210100
4121101233032200
51332031032123
6110025302400
713336423452
oct3121571640
91075874710
10424080288
111a8422885
12ba034a00
1369b22ca8
14404722d2
152736d643
hex1946f3a0

424080288 has 36 divisors (see below), whose sum is σ = 1205979138. Its totient is φ = 141360000.

The previous prime is 424080277. The next prime is 424080331. The reversal of 424080288 is 882080424.

It can be written as a sum of positive squares in only one way, i.e., 396328464 + 27751824 = 19908^2 + 5268^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 735963 + ... + 736538.

Almost surely, 2424080288 is an apocalyptic number.

424080288 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

424080288 is an abundant number, since it is smaller than the sum of its proper divisors (781898850).

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

424080288 is a wasteful number, since it uses less digits than its factorization.

424080288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472517 (or 1472506 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 424080288 is about 20593.2097546740. The cubic root of 424080288 is about 751.3045668248.

The spelling of 424080288 in words is "four hundred twenty-four million, eighty thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1472501 2945002 4417503 5890004 8835006 11780008 13252509 17670012 23560016 26505018 35340024 47120032 53010036 70680048 106020072 141360096 212040144 424080288