Search a number
-
+
410014242 = 232113755967
BaseRepresentation
bin11000011100000…
…101001000100010
31001120111212210200
4120130011020202
51314430423432
6104404010030
713106030541
oct3034051042
91046455720
10410014242
111a0495850
12b5390916
1366c397a1
143c650158
1525ee0a7c
hex18705222

410014242 has 48 divisors (see below), whose sum is σ = 995334912. Its totient is φ = 120886560.

The previous prime is 410014223. The next prime is 410014249. The reversal of 410014242 is 242410014.

410014242 is a `hidden beast` number, since 410 + 0 + 14 + 242 = 666.

It is a super-2 number, since 2×4100142422 = 336223357285669128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (410014249) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20658 + ... + 35309.

It is an arithmetic number, because the mean of its divisors is an integer number (20736144).

Almost surely, 2410014242 is an apocalyptic number.

410014242 is an abundant number, since it is smaller than the sum of its proper divisors (585320670).

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

410014242 is a wasteful number, since it uses less digits than its factorization.

410014242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56023 (or 56020 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 410014242 is about 20248.8084093855. The cubic root of 410014242 is about 742.9044859338.

Adding to 410014242 its reverse (242410014), we get a palindrome (652424256).

The spelling of 410014242 in words is "four hundred ten million, fourteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 55967 111934 167901 335802 503703 615637 1007406 1231274 1846911 2070779 3693822 4141558 5540733 6212337 11081466 12424674 18637011 22778569 37274022 45557138 68335707 136671414 205007121 410014242