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412115328 = 2732357739
BaseRepresentation
bin11000100100000…
…110000110000000
31001201110121221200
4120210012012000
51321000142303
6104521021200
713132631262
oct3044060600
91051417850
10412115328
111a16a0389
12b6024800
13674c3c31
143ca39b32
15262a83a3
hex18906180

412115328 has 48 divisors (see below), whose sum is σ = 1185908100. Its totient is φ = 137371392.

The previous prime is 412115303. The next prime is 412115383. The reversal of 412115328 is 823511214.

412115328 is a `hidden beast` number, since 4 + 121 + 1 + 532 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 177718 + ... + 180021.

Almost surely, 2412115328 is an apocalyptic number.

412115328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

412115328 is an abundant number, since it is smaller than the sum of its proper divisors (773792772).

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

412115328 is a wasteful number, since it uses less digits than its factorization.

412115328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357759 (or 357744 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 412115328 is about 20300.6238327791. The cubic root of 412115328 is about 744.1713098409.

The spelling of 412115328 in words is "four hundred twelve million, one hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 357739 715478 1073217 1430956 2146434 2861912 3219651 4292868 5723824 6439302 8585736 11447648 12878604 17171472 22895296 25757208 34342944 45790592 51514416 68685888 103028832 137371776 206057664 412115328