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412045248 = 26319112951
BaseRepresentation
bin11000100011110…
…100111111000000
31001201100001211010
4120203310333000
51320440421443
6104515320520
713132220046
oct3043647700
91051301733
10412045248
111a165276a
12b5bb0140
136749b074
143ca1c396
1526292733
hex188f4fc0

412045248 has 56 divisors (see below), whose sum is σ = 1147592320. Its totient is φ = 130118400.

The previous prime is 412045247. The next prime is 412045261. The reversal of 412045248 is 842540214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (412045247) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52828 + ... + 60123.

It is an arithmetic number, because the mean of its divisors is an integer number (20492720).

Almost surely, 2412045248 is an apocalyptic number.

412045248 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

412045248 is an abundant number, since it is smaller than the sum of its proper divisors (735547072).

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

412045248 is a wasteful number, since it uses less digits than its factorization.

412045248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112985 (or 112975 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 412045248 is about 20298.8977040627. The cubic root of 412045248 is about 744.1291254666.

The spelling of 412045248 in words is "four hundred twelve million, forty-five thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 152 192 228 304 456 608 912 1216 1824 3648 112951 225902 338853 451804 677706 903608 1355412 1807216 2146069 2710824 3614432 4292138 5421648 6438207 7228864 8584276 10843296 12876414 17168552 21686592 25752828 34337104 51505656 68674208 103011312 137348416 206022624 412045248