Search a number
-
+
412432940 = 225412412087
BaseRepresentation
bin11000100101010…
…011101000101100
31001202001202122002
4120211103220230
51321040323230
6104531511432
713135423253
oct3045235054
91052052562
10412432940
111a1897a77
12b6158578
13675a567a
143cabd79a
152631c545
hex18953a2c

412432940 has 48 divisors (see below), whose sum is σ = 891342144. Its totient is φ = 160204800.

The previous prime is 412432939. The next prime is 412432949. The reversal of 412432940 is 49234214.

It is not an unprimeable number, because it can be changed into a prime (412432949) 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 15 ways as a sum of consecutive naturals, for example, 196577 + ... + 198663.

It is an arithmetic number, because the mean of its divisors is an integer number (18569628).

Almost surely, 2412432940 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 412432940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445671072).

412432940 is an abundant number, since it is smaller than the sum of its proper divisors (478909204).

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

412432940 is a wasteful number, since it uses less digits than its factorization.

412432940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 412432940 is about 20308.4450414107. The cubic root of 412432940 is about 744.3624351795.

The spelling of 412432940 in words is "four hundred twelve million, four hundred thirty-two thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 241 410 482 820 964 1205 2087 2410 4174 4820 8348 9881 10435 19762 20870 39524 41740 49405 85567 98810 171134 197620 342268 427835 502967 855670 1005934 1711340 2011868 2514835 5029670 10059340 20621647 41243294 82486588 103108235 206216470 412432940