Search a number
-
+
412244440 = 23543892693
BaseRepresentation
bin11000100100100…
…101100111011000
31001201201012001121
4120210211213120
51321013310230
6104523455024
713134006556
oct3044454730
91051635047
10412244440
111a1779393
12b6087474
136753a92a
143ca70bd6
15262d177a
hex189259d8

412244440 has 64 divisors (see below), whose sum is σ = 960141600. Its totient is φ = 159194112.

The previous prime is 412244423. The next prime is 412244467. The reversal of 412244440 is 44442214.

It is a congruent number.

It is an unprimeable number.

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, 151734 + ... + 154426.

Almost surely, 2412244440 is an apocalyptic number.

412244440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 412244440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480070800).

412244440 is an abundant number, since it is smaller than the sum of its proper divisors (547897160).

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

412244440 is a wasteful number, since it uses less digits than its factorization.

412244440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2836 (or 2832 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 412244440 is about 20303.8035845504. The cubic root of 412244440 is about 744.2490157706.

Adding to 412244440 its reverse (44442214), we get a palindrome (456686654).

The spelling of 412244440 in words is "four hundred twelve million, two hundred forty-four thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 89 172 178 215 344 356 430 445 712 860 890 1720 1780 2693 3560 3827 5386 7654 10772 13465 15308 19135 21544 26930 30616 38270 53860 76540 107720 115799 153080 231598 239677 463196 479354 578995 926392 958708 1157990 1198385 1917416 2315980 2396770 4631960 4793540 9587080 10306111 20612222 41224444 51530555 82448888 103061110 206122220 412244440