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168448416 = 2535333107
BaseRepresentation
bin10100000101001…
…01000110100000
3102201222001210020
422002211012200
5321110322131
624414233440
74113534153
oct1202450640
9381861706
10168448416
11870a2874
12484b5880
1328b8b026
141852bc9a
15ebc5996
hexa0a51a0

168448416 has 48 divisors (see below), whose sum is σ = 450533664. Its totient is φ = 55088384.

The previous prime is 168448403. The next prime is 168448447. The reversal of 168448416 is 614844861.

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

It is a nude number because it is divisible by every one of its digits.

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, 11466 + ... + 21641.

It is an arithmetic number, because the mean of its divisors is an integer number (9386118).

Almost surely, 2168448416 is an apocalyptic number.

168448416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

168448416 is an abundant number, since it is smaller than the sum of its proper divisors (282085248).

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

168448416 is a wasteful number, since it uses less digits than its factorization.

168448416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33173 (or 33165 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 168448416 is about 12978.7678922153. The cubic root of 168448416 is about 552.2753299852.

The spelling of 168448416 in words is "one hundred sixty-eight million, four hundred forty-eight thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 636 848 1272 1696 2544 5088 33107 66214 99321 132428 198642 264856 397284 529712 794568 1059424 1589136 1754671 3178272 3509342 5264013 7018684 10528026 14037368 21056052 28074736 42112104 56149472 84224208 168448416