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235164768 = 2537193407
BaseRepresentation
bin11100000010001…
…01010001100000
3121101111121102020
432001011101200
5440200233033
635200221440
75553603366
oct1601052140
9541447366
10235164768
11110820853
126690a880
133994a067
1423337636
15159a36b3
hexe045460

235164768 has 48 divisors (see below), whose sum is σ = 618347520. Its totient is φ = 78256256.

The previous prime is 235164749. The next prime is 235164773. The reversal of 235164768 is 867461532.

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 7 ways as a sum of consecutive naturals, for example, 67321 + ... + 70727.

It is an arithmetic number, because the mean of its divisors is an integer number (12882240).

Almost surely, 2235164768 is an apocalyptic number.

It is an amenable number.

235164768 is an abundant number, since it is smaller than the sum of its proper divisors (383182752).

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

235164768 is a wasteful number, since it uses less digits than its factorization.

235164768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4139 (or 4131 counting only the distinct ones).

The product of its digits is 241920, while the sum is 42.

The square root of 235164768 is about 15335.0829146764. The cubic root of 235164768 is about 617.2447703045.

The spelling of 235164768 in words is "two hundred thirty-five million, one hundred sixty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 719 1438 2157 2876 3407 4314 5752 6814 8628 10221 11504 13628 17256 20442 23008 27256 34512 40884 54512 69024 81768 109024 163536 327072 2449633 4899266 7348899 9798532 14697798 19597064 29395596 39194128 58791192 78388256 117582384 235164768