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820006352 = 24112423557
BaseRepresentation
bin110000111000000…
…100110111010000
32010010222122020122
4300320010313100
53134410200402
6213211325412
726214640034
oct6070046720
92103878218
10820006352
11390965a00
121aa750868
13100b69179
147ac961c4
154bec9ca2
hex30e04dd0

820006352 has 30 divisors (see below), whose sum is σ = 1746329634. Its totient is φ = 372729280.

The previous prime is 820006303. The next prime is 820006379. The reversal of 820006352 is 253600028.

It can be written as a sum of positive squares in only one way, i.e., 807923776 + 12082576 = 28424^2 + 3476^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 209843 + ... + 213714.

Almost surely, 2820006352 is an apocalyptic number.

It is an amenable number.

820006352 is an abundant number, since it is smaller than the sum of its proper divisors (926323282).

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

820006352 is a wasteful number, since it uses less digits than its factorization.

820006352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423587 (or 423570 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 820006352 is about 28635.7530370689. The cubic root of 820006352 is about 935.9925791410.

The spelling of 820006352 in words is "eight hundred twenty million, six thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 423557 847114 1694228 3388456 4659127 6776912 9318254 18636508 37273016 51250397 74546032 102500794 205001588 410003176 820006352