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3281139792 = 243371957107
BaseRepresentation
bin1100001110010010…
…0011100001010000
322110200001011122000
43003210203201100
523204432433132
61301330114000
7144211141140
oct30344434120
98420034560
103281139792
111434132987
12776a1b900
13403a0a948
14231aaa920
151430c987c
hexc3923850

3281139792 has 160 divisors (see below), whose sum is σ = 11330227200. Its totient is φ = 888112512.

The previous prime is 3281139781. The next prime is 3281139793. The reversal of 3281139792 is 2979311823.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3281139793) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28903 + ... + 86009.

It is an arithmetic number, because the mean of its divisors is an integer number (70813920).

Almost surely, 23281139792 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 3281139792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5665113600).

3281139792 is an abundant number, since it is smaller than the sum of its proper divisors (8049087408).

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

3281139792 is a wasteful number, since it uses less digits than its factorization.

3281139792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57150 (or 57138 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 3281139792 is about 57281.2342045805. The cubic root of 3281139792 is about 1485.9638513632.

The spelling of 3281139792 in words is "three billion, two hundred eighty-one million, one hundred thirty-nine thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 19 21 24 27 28 36 38 42 48 54 56 57 63 72 76 84 108 112 114 126 133 144 152 168 171 189 216 228 252 266 304 336 342 378 399 432 456 504 513 532 684 756 798 912 1008 1026 1064 1197 1368 1512 1596 2052 2128 2394 2736 3024 3192 3591 4104 4788 6384 7182 8208 9576 14364 19152 28728 57107 57456 114214 171321 228428 342642 399749 456856 513963 685284 799498 913712 1027926 1085033 1199247 1370568 1541889 1598996 2055852 2170066 2398494 2741136 3083778 3197992 3255099 3597741 4111704 4340132 4796988 6167556 6395984 6510198 7195482 7595231 8223408 8680264 9593976 9765297 10793223 12335112 13020396 14390964 15190462 17360528 19187952 19530594 21586446 22785693 24670224 26040792 28781928 29295891 30380924 39061188 43172892 45571386 52081584 57563856 58591782 60761848 68357079 78122376 86345784 91142772 117183564 121523696 136714158 156244752 172691568 182285544 205071237 234367128 273428316 364571088 410142474 468734256 546856632 820284948 1093713264 1640569896 3281139792