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412120352 = 2577125913
BaseRepresentation
bin11000100100000…
…111010100100000
31001201110212211202
4120210013110200
51321000322402
6104521100332
713132652030
oct3044072440
91051425752
10412120352
111a16a4136
12b60276a8
13674c62c7
143ca3b8c0
15262a9b02
hex18907520

412120352 has 48 divisors (see below), whose sum is σ = 940367232. Its totient is φ = 174128640.

The previous prime is 412120349. The next prime is 412120391. The reversal of 412120352 is 253021214.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2948 + ... + 28860.

It is an arithmetic number, because the mean of its divisors is an integer number (19590984).

Almost surely, 2412120352 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 412120352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470183616).

412120352 is an abundant number, since it is smaller than the sum of its proper divisors (528246880).

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

412120352 is a wasteful number, since it uses less digits than its factorization.

412120352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26001 (or 25993 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 412120352 is about 20300.7475724418. The cubic root of 412120352 is about 744.1743338338.

Adding to 412120352 its reverse (253021214), we get a palindrome (665141566).

The spelling of 412120352 in words is "four hundred twelve million, one hundred twenty thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 71 112 142 224 284 497 568 994 1136 1988 2272 3976 7952 15904 25913 51826 103652 181391 207304 362782 414608 725564 829216 1451128 1839823 2902256 3679646 5804512 7359292 12878761 14718584 25757522 29437168 51515044 58874336 103030088 206060176 412120352