Search a number
-
+
83659968 = 2632720749
BaseRepresentation
bin1001111110010…
…00110011000000
312211102100220100
410333020303000
5132404104333
612145042400
72034045420
oct477106300
9184370810
1083659968
1143250a77
1224026400
1314442252
14b17a480
157528213
hex4fc8cc0

83659968 has 84 divisors (see below), whose sum is σ = 274066000. Its totient is φ = 23901696.

The previous prime is 83659963. The next prime is 83660033. The reversal of 83659968 is 86995638.

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×836599682 = 13997980491522048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (83659963) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6343 + ... + 14406.

Almost surely, 283659968 is an apocalyptic number.

It is an amenable number.

83659968 is an abundant number, since it is smaller than the sum of its proper divisors (190406032).

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

83659968 is a wasteful number, since it uses less digits than its factorization.

83659968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20774 (or 20761 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 83659968 is about 9146.5823125362. The cubic root of 83659968 is about 437.3601716955.

The spelling of 83659968 in words is "eighty-three million, six hundred fifty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 20749 41498 62247 82996 124494 145243 165992 186741 248988 290486 331984 373482 435729 497976 580972 663968 746964 871458 995952 1161944 1307187 1327936 1493928 1742916 1991904 2323888 2614374 2987856 3485832 3983808 4647776 5228748 5975712 6971664 9295552 10457496 11951424 13943328 20914992 27886656 41829984 83659968