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831709044 = 2232311315689
BaseRepresentation
bin110001100100101…
…101111101110100
32010222000012022200
4301210231331310
53200404142134
6214310224500
726416260465
oct6144557564
92128005280
10831709044
11397529351
121b2655130
13103405a3a
147c660d6c
154d03c499
hex3192df74

831709044 has 72 divisors (see below), whose sum is σ = 2187144960. Its totient is φ = 266198400.

The previous prime is 831708973. The next prime is 831709061. The reversal of 831709044 is 440907138.

It is a happy number.

It is a super-4 number, since 4×8317090444 (a number of 37 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 143352 + ... + 149040.

Almost surely, 2831709044 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 831709044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093572480).

831709044 is an abundant number, since it is smaller than the sum of its proper divisors (1355435916).

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

831709044 is a wasteful number, since it uses less digits than its factorization.

831709044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5861 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 831709044 is about 28839.3662204980. The cubic root of 831709044 is about 940.4242252967.

The spelling of 831709044 in words is "eight hundred thirty-one million, seven hundred nine thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 131 186 262 279 372 393 524 558 786 1116 1179 1572 2358 4061 4716 5689 8122 11378 12183 16244 17067 22756 24366 34134 36549 48732 51201 68268 73098 102402 146196 176359 204804 352718 529077 705436 745259 1058154 1490518 1587231 2116308 2235777 2981036 3174462 4471554 6348924 6707331 8943108 13414662 23103029 26829324 46206058 69309087 92412116 138618174 207927261 277236348 415854522 831709044