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764106048 = 2634147397
BaseRepresentation
bin101101100010110…
…101010101000000
31222020210121110000
4231202311111000
53031102343143
6203453240000
724635536266
oct5542652500
91866717400
10764106048
11362355202
12193a93000
13c23c6274
14736a4436
1547136bd3
hex2d8b5540

764106048 has 70 divisors (see below), whose sum is σ = 2265065066. Its totient is φ = 254700288.

The previous prime is 764106043. The next prime is 764106059. The reversal of 764106048 is 840601467.

764106048 is a `hidden beast` number, since 7 + 6 + 41 + 0 + 604 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 705858624 + 58247424 = 26568^2 + 7632^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (764106043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 68515 + ... + 78882.

Almost surely, 2764106048 is an apocalyptic number.

It is an amenable number.

764106048 is an abundant number, since it is smaller than the sum of its proper divisors (1500959018).

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

764106048 is a wasteful number, since it uses less digits than its factorization.

764106048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147421 (or 147402 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 764106048 is about 27642.4681965992. The cubic root of 764106048 is about 914.2210408866.

The spelling of 764106048 in words is "seven hundred sixty-four million, one hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 147397 294794 442191 589588 884382 1179176 1326573 1768764 2358352 2653146 3537528 3979719 4716704 5306292 7075056 7959438 9433408 10612584 11939157 14150112 15918876 21225168 23878314 28300224 31837752 42450336 47756628 63675504 84900672 95513256 127351008 191026512 254702016 382053024 764106048