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893414412 = 2232112256097
BaseRepresentation
bin110101010000000…
…110110000001100
32022021010011011200
4311100012300030
53312203230122
6224352545500
731065616512
oct6520066014
92267104150
10893414412
11419344520
1220b252290
1311312bca7
14869244b2
155367a5ac
hex35406c0c

893414412 has 36 divisors (see below), whose sum is σ = 2463659016. Its totient is φ = 270731520.

The previous prime is 893414411. The next prime is 893414437. The reversal of 893414412 is 214414398.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (893414411) 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 11 ways as a sum of consecutive naturals, for example, 1127653 + ... + 1128444.

Almost surely, 2893414412 is an apocalyptic number.

It is an amenable number.

893414412 is an abundant number, since it is smaller than the sum of its proper divisors (1570244604).

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

893414412 is a wasteful number, since it uses less digits than its factorization.

893414412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256118 (or 2256113 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 893414412 is about 29890.0386751172. The cubic root of 893414412 is about 963.1286856171.

The spelling of 893414412 in words is "eight hundred ninety-three million, four hundred fourteen thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 2256097 4512194 6768291 9024388 13536582 20304873 24817067 27073164 40609746 49634134 74451201 81219492 99268268 148902402 223353603 297804804 446707206 893414412