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819242814 = 231322074759
BaseRepresentation
bin110000110101001…
…010011100111110
32010002112211212110
4300311022130332
53134211232224
6213143114450
726205310005
oct6065123476
92102484773
10819242814
11390494285
121aa442a26
1310095c780
147ab37c3c
154bdc8929
hex30d4a73e

819242814 has 32 divisors (see below), whose sum is σ = 1765693440. Its totient is φ = 251907552.

The previous prime is 819242813. The next prime is 819242839. The reversal of 819242814 is 418242918.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (819242813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 169767 + ... + 174525.

It is an arithmetic number, because the mean of its divisors is an integer number (55177920).

Almost surely, 2819242814 is an apocalyptic number.

819242814 is an abundant number, since it is smaller than the sum of its proper divisors (946450626).

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

819242814 is a wasteful number, since it uses less digits than its factorization.

819242814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6984.

The product of its digits is 36864, while the sum is 39.

The square root of 819242814 is about 28622.4180320252. The cubic root of 819242814 is about 935.7019765816.

The spelling of 819242814 in words is "eight hundred nineteen million, two hundred forty-two thousand, eight hundred fourteen".

Divisors: 1 2 3 6 13 26 39 78 2207 4414 4759 6621 9518 13242 14277 28554 28691 57382 61867 86073 123734 172146 185601 371202 10503113 21006226 31509339 63018678 136540469 273080938 409621407 819242814