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412241424 = 24372694561
BaseRepresentation
bin11000100100100…
…100111000010000
31001201201000220220
4120210210320100
51321013211144
6104523433040
713133665020
oct3044447020
91051630826
10412241424
111a17770a1
12b6085780
136753944a
143ca6da80
15262d0919
hex18924e10

412241424 has 80 divisors (see below), whose sum is σ = 1221886080. Its totient is φ = 117319680.

The previous prime is 412241393. The next prime is 412241447. The reversal of 412241424 is 424142214.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 412241394 and 412241403.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88104 + ... + 92664.

It is an arithmetic number, because the mean of its divisors is an integer number (15273576).

Almost surely, 2412241424 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 412241424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (610943040).

412241424 is an abundant number, since it is smaller than the sum of its proper divisors (809644656).

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

412241424 is a wasteful number, since it uses less digits than its factorization.

412241424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4842 counting only the distinct ones).

The product of its digits is 2048, while the sum is 24.

The square root of 412241424 is about 20303.7293126164. The cubic root of 412241424 is about 744.2472007791.

Adding to 412241424 its reverse (424142214), we get a palindrome (836383638).

The spelling of 412241424 in words is "four hundred twelve million, two hundred forty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 269 336 538 807 1076 1614 1883 2152 3228 3766 4304 4561 5649 6456 7532 9122 11298 12912 13683 15064 18244 22596 27366 30128 31927 36488 45192 54732 63854 72976 90384 95781 109464 127708 191562 218928 255416 383124 510832 766248 1226909 1532496 2453818 3680727 4907636 7361454 8588363 9815272 14722908 17176726 19630544 25765089 29445816 34353452 51530178 58891632 68706904 103060356 137413808 206120712 412241424