Search a number
-
+
272464420 = 22524415581
BaseRepresentation
bin10000001111010…
…111101000100100
3200222200121220211
4100033113220210
51024222330140
643011505204
76515623624
oct2017275044
9628617824
10272464420
1112a887608
12772b8204
13445a9767
1428286884
1518dc02ea
hex103d7a24

272464420 has 24 divisors (see below), whose sum is σ = 572512248. Its totient is φ = 108921600.

The previous prime is 272464399. The next prime is 272464421. The reversal of 272464420 is 24464272.

It can be written as a sum of positive squares in 4 ways, for example, as 16384 + 272448036 = 128^2 + 16506^2 .

It is a super-4 number, since 4×2724644204 (a number of 35 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (272464421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46030 + ... + 51610.

It is an arithmetic number, because the mean of its divisors is an integer number (23854677).

Almost surely, 2272464420 is an apocalyptic number.

272464420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272464420 is an abundant number, since it is smaller than the sum of its proper divisors (300047828).

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

272464420 is a wasteful number, since it uses less digits than its factorization.

272464420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8031 (or 8029 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 31.

The square root of 272464420 is about 16506.4962969129. The cubic root of 272464420 is about 648.2909105071.

The spelling of 272464420 in words is "two hundred seventy-two million, four hundred sixty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 2441 4882 5581 9764 11162 12205 22324 24410 27905 48820 55810 111620 13623221 27246442 54492884 68116105 136232210 272464420