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820531348 = 227132398009
BaseRepresentation
bin110000111010000…
…101000010010100
32010011222022101221
4300322011002110
53140024000343
6213230500124
726222254450
oct6072050224
92104868357
10820531348
1139119438a
121aa964644
13100cc1110
147ad91660
154c0805ed
hex30e85094

820531348 has 48 divisors (see below), whose sum is σ = 1844156160. Its totient is φ = 310489344.

The previous prime is 820531337. The next prime is 820531363. The reversal of 820531348 is 843135028.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40633 + ... + 57376.

It is an arithmetic number, because the mean of its divisors is an integer number (38419920).

Almost surely, 2820531348 is an apocalyptic number.

It is an amenable number.

820531348 is an abundant number, since it is smaller than the sum of its proper divisors (1023624812).

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

820531348 is a wasteful number, since it uses less digits than its factorization.

820531348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98056 (or 98054 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 820531348 is about 28644.9183625997. The cubic root of 820531348 is about 936.1922879715.

The spelling of 820531348 in words is "eight hundred twenty million, five hundred thirty-one thousand, three hundred forty-eight".

Divisors: 1 2 4 7 13 14 23 26 28 46 52 91 92 161 182 299 322 364 598 644 1196 2093 4186 8372 98009 196018 392036 686063 1274117 1372126 2254207 2548234 2744252 4508414 5096468 8918819 9016828 15779449 17837638 29304691 31558898 35675276 58609382 63117796 117218764 205132837 410265674 820531348