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820085748 = 2235311311411
BaseRepresentation
bin110000111000011…
…000001111110100
32010011010200011020
4300320120033310
53134420220443
6213213141140
726215420356
oct6070301764
92104120136
10820085748
11390a0a619
121aa78a7b0
13100b96351
147acb70d6
154bee3583
hex30e183f4

820085748 has 48 divisors (see below), whose sum is σ = 1967063616. Its totient is φ = 265807360.

The previous prime is 820085737. The next prime is 820085753. The reversal of 820085748 is 847580028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66163 + ... + 77573.

It is an arithmetic number, because the mean of its divisors is an integer number (40980492).

Almost surely, 2820085748 is an apocalyptic number.

It is an amenable number.

820085748 is an abundant number, since it is smaller than the sum of its proper divisors (1146977868).

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

820085748 is a wasteful number, since it uses less digits than its factorization.

820085748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11584 (or 11582 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 42.

The square root of 820085748 is about 28637.1393124383. The cubic root of 820085748 is about 936.0227869023.

The spelling of 820085748 in words is "eight hundred twenty million, eighty-five thousand, seven hundred forty-eight".

Divisors: 1 2 3 4 6 12 53 106 113 159 212 226 318 339 452 636 678 1356 5989 11411 11978 17967 22822 23956 34233 35934 45644 68466 71868 136932 604783 1209566 1289443 1814349 2419132 2578886 3628698 3868329 5157772 7257396 7736658 15473316 68340479 136680958 205021437 273361916 410042874 820085748