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1683733492 = 227323229233
BaseRepresentation
bin110010001011011…
…1011101111110100
311100100020112010201
41210112323233310
511422013432432
6435024130244
756503333000
oct14426735764
94310215121
101683733492
11794472991
123aba66984
1320aaa260c
1411d88d700
159cc3dee7
hex645bbbf4

1683733492 has 96 divisors (see below), whose sum is σ = 3616704000. Its totient is φ = 684262656.

The previous prime is 1683733477. The next prime is 1683733501. The reversal of 1683733492 is 2943373861.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7226208 + ... + 7226440.

It is an arithmetic number, because the mean of its divisors is an integer number (37674000).

Almost surely, 21683733492 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 1683733492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1808352000).

1683733492 is an abundant number, since it is smaller than the sum of its proper divisors (1932970508).

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

1683733492 is a wasteful number, since it uses less digits than its factorization.

1683733492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 494 counting only the distinct ones).

The product of its digits is 653184, while the sum is 46.

The square root of 1683733492 is about 41033.3217275911. The cubic root of 1683733492 is about 1189.6643574739.

The spelling of 1683733492 in words is "one billion, six hundred eighty-three million, seven hundred thirty-three thousand, four hundred ninety-two".

Divisors: 1 2 4 7 14 23 28 46 49 92 98 161 196 229 233 322 343 458 466 644 686 916 932 1127 1372 1603 1631 2254 3206 3262 4508 5267 5359 6412 6524 7889 10534 10718 11221 11417 15778 21068 21436 22442 22834 31556 36869 37513 44884 45668 53357 73738 75026 78547 79919 106714 147476 150052 157094 159838 213428 258083 262591 314188 319676 373499 516166 525182 746998 1032332 1050364 1227211 1493996 1806581 1838137 2454422 2614493 3613162 3676274 4908844 5228986 7226324 7352548 8590477 10457972 17180954 18301451 34361908 36602902 60133339 73205804 120266678 240533356 420933373 841866746 1683733492