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412144452 = 2232231393581
BaseRepresentation
bin11000100100001…
…101001101000100
31001201112002220100
4120210031031010
51321002110302
6104521404100
713133112216
oct3044151504
91051462810
10412144452
111a1710255
12b6039630
1367504275
143ca465b6
15262b1d1c
hex1890d344

412144452 has 72 divisors (see below), whose sum is σ = 1095232320. Its totient is φ = 130426560.

The previous prime is 412144427. The next prime is 412144459. The reversal of 412144452 is 254441214.

412144452 is a `hidden beast` number, since 4 + 1 + 214 + 445 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (412144459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113302 + ... + 116882.

It is an arithmetic number, because the mean of its divisors is an integer number (15211560).

Almost surely, 2412144452 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 412144452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547616160).

412144452 is an abundant number, since it is smaller than the sum of its proper divisors (683087868).

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

412144452 is a wasteful number, since it uses less digits than its factorization.

412144452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3753 (or 3748 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 412144452 is about 20301.3411379643. The cubic root of 412144452 is about 744.1888395090.

Adding to 412144452 its reverse (254441214), we get a palindrome (666585666).

The spelling of 412144452 in words is "four hundred twelve million, one hundred forty-four thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 36 46 69 92 138 139 207 276 278 414 417 556 828 834 1251 1668 2502 3197 3581 5004 6394 7162 9591 10743 12788 14324 19182 21486 28773 32229 38364 42972 57546 64458 82363 115092 128916 164726 247089 329452 494178 497759 741267 988356 995518 1482534 1493277 1991036 2965068 2986554 4479831 5973108 8959662 11448457 17919324 22896914 34345371 45793828 68690742 103036113 137381484 206072226 412144452