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412006032 = 243219150587
BaseRepresentation
bin11000100011101…
…011011010010000
31001201021002000200
4120203223122100
51320433143112
6104514415200
713131664524
oct3043533220
91051232020
10412006032
111a1626259
12b5b91500
1367486269
143ca0bd84
1526285cdc
hex188eb690

412006032 has 60 divisors (see below), whose sum is σ = 1213739280. Its totient is φ = 130106304.

The previous prime is 412006019. The next prime is 412006043. The reversal of 412006032 is 230600214.

It is a happy number.

412006032 is a `hidden beast` number, since 41 + 20 + 0 + 603 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 412005996 and 412006014.

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 11 ways as a sum of consecutive naturals, for example, 72558 + ... + 78029.

It is an arithmetic number, because the mean of its divisors is an integer number (20228988).

Almost surely, 2412006032 is an apocalyptic number.

It is an amenable number.

412006032 is an abundant number, since it is smaller than the sum of its proper divisors (801733248).

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

412006032 is a wasteful number, since it uses less digits than its factorization.

412006032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150620 (or 150611 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 412006032 is about 20297.9317172957. The cubic root of 412006032 is about 744.1055174658.

Adding to 412006032 its reverse (230600214), we get a palindrome (642606246).

The spelling of 412006032 in words is "four hundred twelve million, six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 2736 150587 301174 451761 602348 903522 1204696 1355283 1807044 2409392 2710566 2861153 3614088 5421132 5722306 7228176 8583459 10842264 11444612 17166918 21684528 22889224 25750377 34333836 45778448 51500754 68667672 103001508 137335344 206003016 412006032