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820348511 = 8389111053
BaseRepresentation
bin110000111001011…
…000011001011111
32010011122000121012
4300321120121133
53140002123021
6213222525435
726220563423
oct6071303137
92104560535
10820348511
11391079a84
121aa89687b
13100c58b28
147ad44b83
154c04635b
hex30e5865f

820348511 has 8 divisors (see below), whose sum is σ = 839568240. Its totient is φ = 801351232.

The previous prime is 820348483. The next prime is 820348513. The reversal of 820348511 is 115843028.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 820348511 - 210 = 820347487 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (820348513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48140 + ... + 62913.

It is an arithmetic number, because the mean of its divisors is an integer number (104946030).

Almost surely, 2820348511 is an apocalyptic number.

820348511 is a deficient number, since it is larger than the sum of its proper divisors (19219729).

820348511 is a wasteful number, since it uses less digits than its factorization.

820348511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111225.

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 820348511 is about 28641.7267461304. The cubic root of 820348511 is about 936.1227463242.

The spelling of 820348511 in words is "eight hundred twenty million, three hundred forty-eight thousand, five hundred eleven".

Divisors: 1 83 89 7387 111053 9217399 9883717 820348511