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835390625 = 5717237
BaseRepresentation
bin110001110010110…
…000110010100001
32011012221020111112
4301302300302201
53202330000000
6214521153105
726462463116
oct6162606241
92135836445
10835390625
11399613383
121b392b795
131040c46a4
147cd3c90d
154d518235
hex31cb0ca1

835390625 has 48 divisors (see below), whose sum is σ = 1139254896. Its totient is φ = 612000000.

The previous prime is 835390597. The next prime is 835390631. The reversal of 835390625 is 526093538.

It can be written as a sum of positive squares in 24 ways, for example, as 439698961 + 395691664 = 20969^2 + 19892^2 .

It is not a de Polignac number, because 835390625 - 26 = 835390561 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22578107 + ... + 22578143.

It is an arithmetic number, because the mean of its divisors is an integer number (23734477).

Almost surely, 2835390625 is an apocalyptic number.

835390625 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

835390625 is a deficient number, since it is larger than the sum of its proper divisors (303864271).

835390625 is an frugal number, since it uses more digits than its factorization.

835390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 41.

The square root of 835390625 is about 28903.1248310628. The cubic root of 835390625 is about 941.8097867238.

The spelling of 835390625 in words is "eight hundred thirty-five million, three hundred ninety thousand, six hundred twenty-five".

Divisors: 1 5 17 25 37 85 125 185 289 425 625 629 925 1445 2125 3125 3145 4625 7225 10625 10693 15625 15725 23125 36125 53125 53465 78125 78625 115625 180625 265625 267325 393125 578125 903125 1328125 1336625 1965625 2890625 4515625 6683125 9828125 22578125 33415625 49140625 167078125 835390625