Search a number
-
+
768127296 = 2638114933
BaseRepresentation
bin101101110010001…
…011000101000000
31222112100220120010
4231302023011000
53033120033141
6204115344520
725014655116
oct5562130500
91875326503
10768127296
11364651452
121952b2140
13c31a36c1
147402dab6
154767d416
hex2dc8b140

768127296 has 56 divisors (see below), whose sum is σ = 2035255264. Its totient is φ = 255674880.

The previous prime is 768127279. The next prime is 768127309. The reversal of 768127296 is 692721867.

It is a Harshad number since it is a multiple of its sum of digits (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, 153246 + ... + 158178.

It is an arithmetic number, because the mean of its divisors is an integer number (36343844).

Almost surely, 2768127296 is an apocalyptic number.

It is an amenable number.

768127296 is an abundant number, since it is smaller than the sum of its proper divisors (1267127968).

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

768127296 is a wasteful number, since it uses less digits than its factorization.

768127296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5759 (or 5749 counting only the distinct ones).

The product of its digits is 508032, while the sum is 48.

The square root of 768127296 is about 27715.1095253113. The cubic root of 768127296 is about 915.8219876170.

The spelling of 768127296 in words is "seven hundred sixty-eight million, one hundred twenty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 811 1622 2433 3244 4866 4933 6488 9732 9866 12976 14799 19464 19732 25952 29598 38928 39464 51904 59196 77856 78928 118392 155712 157856 236784 315712 473568 947136 4000663 8001326 12001989 16002652 24003978 32005304 48007956 64010608 96015912 128021216 192031824 256042432 384063648 768127296