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827513442 = 23373170619
BaseRepresentation
bin110001010100101…
…101101001100010
32010200010001001000
4301110231221202
53143320412232
6214040252430
726335514430
oct6124555142
92120101030
10827513442
11395123108
121b1171116
13102597132
147bc8bd50
154c9ae27c
hex3152da62

827513442 has 64 divisors (see below), whose sum is σ = 2169446400. Its totient is φ = 228802320.

The previous prime is 827513417. The next prime is 827513461. The reversal of 827513442 is 244315728.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 827513397 and 827513406.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23592 + ... + 47027.

It is an arithmetic number, because the mean of its divisors is an integer number (33897600).

Almost surely, 2827513442 is an apocalyptic number.

827513442 is an abundant number, since it is smaller than the sum of its proper divisors (1341932958).

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

827513442 is a wasteful number, since it uses less digits than its factorization.

827513442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70668 (or 70662 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 827513442 is about 28766.5333677869. The cubic root of 827513442 is about 938.8402181965.

The spelling of 827513442 in words is "eight hundred twenty-seven million, five hundred thirteen thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 31 42 54 62 63 93 126 186 189 217 279 378 434 558 651 837 1302 1674 1953 3906 5859 11718 70619 141238 211857 423714 494333 635571 988666 1271142 1482999 1906713 2189189 2965998 3813426 4378378 4448997 6567567 8897994 13135134 13346991 15324323 19702701 26693982 30648646 39405402 45972969 59108103 91945938 118216206 137918907 275837814 413756721 827513442