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412144352 = 25195571217
BaseRepresentation
bin11000100100001…
…101001011100000
31001201112002202122
4120210031023200
51321002104402
6104521403412
713133112014
oct3044151340
91051462678
10412144352
111a1710174
12b6039568
13675041c9
143ca46544
15262b1ca2
hex1890d2e0

412144352 has 48 divisors (see below), whose sum is σ = 856351440. Its totient is φ = 194715648.

The previous prime is 412144331. The next prime is 412144357. The reversal of 412144352 is 253441214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412144357) 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 7 ways as a sum of consecutive naturals, for example, 338048 + ... + 339264.

It is an arithmetic number, because the mean of its divisors is an integer number (17840655).

Almost surely, 2412144352 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 412144352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428175720).

412144352 is an abundant number, since it is smaller than the sum of its proper divisors (444207088).

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

412144352 is a wasteful number, since it uses less digits than its factorization.

412144352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1795 counting only the distinct ones).

The product of its digits is 3840, while the sum is 26.

The square root of 412144352 is about 20301.3386750726. The cubic root of 412144352 is about 744.1887793206.

Adding to 412144352 its reverse (253441214), we get a palindrome (665585566).

The spelling of 412144352 in words is "four hundred twelve million, one hundred forty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 557 608 1114 1217 2228 2434 4456 4868 8912 9736 10583 17824 19472 21166 23123 38944 42332 46246 84664 92492 169328 184984 338656 369968 677869 739936 1355738 2711476 5422952 10845904 12879511 21691808 25759022 51518044 103036088 206072176 412144352