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768014415 = 325710872243
BaseRepresentation
bin101101110001101…
…111100001001111
31222112011011201100
4231301233201033
53033102430130
6204113114143
725014005040
oct5561574117
91875134640
10768014415
11364584663
12195258953
13c31641cc
14740008c7
1547659c60
hex2dc6f84f

768014415 has 48 divisors (see below), whose sum is σ = 1523478528. Its totient is φ = 350612928.

The previous prime is 768014411. The next prime is 768014449. The reversal of 768014415 is 514410867.

It is a happy number.

It is not a de Polignac number, because 768014415 - 22 = 768014411 is a prime.

It is a super-2 number, since 2×7680144152 = 1179692283295584450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 768014415.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (768014411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341284 + ... + 343526.

It is an arithmetic number, because the mean of its divisors is an integer number (31739136).

Almost surely, 2768014415 is an apocalyptic number.

768014415 is a deficient number, since it is larger than the sum of its proper divisors (755464113).

768014415 is a wasteful number, since it uses less digits than its factorization.

768014415 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3348 (or 3345 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 768014415 is about 27713.0729981357. The cubic root of 768014415 is about 915.7771235401. Note that the first 3 decimals are identical.

The spelling of 768014415 in words is "seven hundred sixty-eight million, fourteen thousand, four hundred fifteen".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1087 2243 3261 5435 6729 7609 9783 11215 15701 16305 20187 22827 33645 38045 47103 48915 68481 78505 100935 114135 141309 235515 342405 706545 2438141 7314423 12190705 17066987 21943269 36572115 51200961 85334935 109716345 153602883 256004805 768014415