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814926780 = 223254527371
BaseRepresentation
bin110000100100101…
…100101110111100
32002210102120101100
4300210230232330
53132110124110
6212510413100
726123522553
oct6044545674
92083376340
10814926780
11389006608
121a8b01190
13ccaab0c5
147a332d9a
154b824bc0
hex3092cbbc

814926780 has 36 divisors (see below), whose sum is σ = 2471945112. Its totient is φ = 217313760.

The previous prime is 814926751. The next prime is 814926787. The reversal of 814926780 is 87629418.

814926780 is a `hidden beast` number, since 81 + 492 + 6 + 7 + 80 = 666.

814926780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×8149267803 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (814926787) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2263506 + ... + 2263865.

It is an arithmetic number, because the mean of its divisors is an integer number (68665142).

Almost surely, 2814926780 is an apocalyptic number.

It is an amenable number.

814926780 is an abundant number, since it is smaller than the sum of its proper divisors (1657018332).

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

814926780 is a wasteful number, since it uses less digits than its factorization.

814926780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4527386 (or 4527381 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 814926780 is about 28546.9224260690. The cubic root of 814926780 is about 934.0558897389.

The spelling of 814926780 in words is "eight hundred fourteen million, nine hundred twenty-six thousand, seven hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 4527371 9054742 13582113 18109484 22636855 27164226 40746339 45273710 54328452 67910565 81492678 90547420 135821130 162985356 203731695 271642260 407463390 814926780