Search a number
-
+
410644242 = 237223421
BaseRepresentation
bin11000011110011…
…110111100010010
31001121200220000000
4120132132330102
51320111103432
6104425310430
713114263351
oct3036367422
91047626000
10410644242
111a0886108
12b5635416
13670ca478
143c775998
15260b757c
hex1879ef12

410644242 has 64 divisors (see below), whose sum is σ = 930155520. Its totient is φ = 135943920.

The previous prime is 410644229. The next prime is 410644249. The reversal of 410644242 is 242446014.

It is a happy number.

410644242 is a `hidden beast` number, since 4 + 10 + 644 + 2 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (410644249) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 975192 + ... + 975612.

It is an arithmetic number, because the mean of its divisors is an integer number (14533680).

Almost surely, 2410644242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 410644242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (465077760).

410644242 is an abundant number, since it is smaller than the sum of its proper divisors (519511278).

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

410644242 is an equidigital number, since it uses as much as digits as its factorization.

410644242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 410644242 is about 20264.3589091784. The cubic root of 410644242 is about 743.2847900537.

The spelling of 410644242 in words is "four hundred ten million, six hundred forty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 223 243 421 446 486 669 729 842 1263 1338 1458 2007 2187 2526 3789 4014 4374 6021 7578 11367 12042 18063 22734 34101 36126 54189 68202 93883 102303 108378 162567 187766 204606 281649 306909 325134 487701 563298 613818 844947 920727 975402 1689894 1841454 2534841 5069682 7604523 15209046 22813569 45627138 68440707 136881414 205322121 410644242