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768272328 = 233255719157
BaseRepresentation
bin101101110010101…
…110011111001000
31222112122021111200
4231302232133020
53033134203303
6204122424200
725016131005
oct5562563710
91875567450
10768272328
1136474040a
12195362060
13c3224715
147406a8ac
15476ab3a3
hex2dcae7c8

768272328 has 48 divisors (see below), whose sum is σ = 2084581980. Its totient is φ = 255617664.

The previous prime is 768272303. The next prime is 768272341. The reversal of 768272328 is 823272867.

It can be written as a sum of positive squares in 2 ways, for example, as 559700964 + 208571364 = 23658^2 + 14442^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30526 + ... + 49682.

Almost surely, 2768272328 is an apocalyptic number.

It is an amenable number.

768272328 is an abundant number, since it is smaller than the sum of its proper divisors (1316309652).

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

768272328 is a wasteful number, since it uses less digits than its factorization.

768272328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19726 (or 19719 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 768272328 is about 27717.7258807428. The cubic root of 768272328 is about 915.8796235221.

The spelling of 768272328 in words is "seven hundred sixty-eight million, two hundred seventy-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 557 1114 1671 2228 3342 4456 5013 6684 10026 13368 19157 20052 38314 40104 57471 76628 114942 153256 172413 229884 344826 459768 689652 1379304 10670449 21340898 32011347 42681796 64022694 85363592 96034041 128045388 192068082 256090776 384136164 768272328