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412151012 = 227132834001
BaseRepresentation
bin11000100100001…
…110110011100100
31001201112102220022
4120210032303210
51321002313022
6104521454312
713133140310
oct3044166344
91051472808
10412151012
111a1715179
12b6041398
1367507250
143ca48b40
15262b3c42
hex1890ece4

412151012 has 48 divisors (see below), whose sum is σ = 891069312. Its totient is φ = 162432000.

The previous prime is 412150997. The next prime is 412151017. The reversal of 412151012 is 210151214.

It is not an unprimeable number, because it can be changed into a prime (412151017) by changing a digit.

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, 101012 + ... + 105012.

It is an arithmetic number, because the mean of its divisors is an integer number (18563944).

Almost surely, 2412151012 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 412151012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (445534656).

412151012 is an abundant number, since it is smaller than the sum of its proper divisors (478918300).

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

412151012 is a wasteful number, since it uses less digits than its factorization.

412151012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4308 (or 4306 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 17.

The square root of 412151012 is about 20301.5027030021. The cubic root of 412151012 is about 744.1927878438.

The spelling of 412151012 in words is "four hundred twelve million, one hundred fifty-one thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 283 364 566 1132 1981 3679 3962 4001 7358 7924 8002 14716 16004 25753 28007 51506 52013 56014 103012 104026 112028 208052 364091 728182 1132283 1456364 2264566 4529132 7925981 14719679 15851962 29439358 31703924 58878716 103037753 206075506 412151012