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83660928 = 2731316759
BaseRepresentation
bin1001111110010…
…01000010000000
312211102102012220
410333021002000
5132404122203
612145051040
72034051261
oct477110200
9184372186
1083660928
114325176a
1224026a80
1314442810
14b17a968
157528653
hex4fc9080

83660928 has 64 divisors (see below), whose sum is σ = 239332800. Its totient is φ = 25740288.

The previous prime is 83660887. The next prime is 83660939. The reversal of 83660928 is 82906638.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 83660928.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3388 + ... + 13371.

It is an arithmetic number, because the mean of its divisors is an integer number (3739575).

Almost surely, 283660928 is an apocalyptic number.

It is an amenable number.

83660928 is an abundant number, since it is smaller than the sum of its proper divisors (155671872).

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

83660928 is a wasteful number, since it uses less digits than its factorization.

83660928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16789 (or 16777 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 83660928 is about 9146.6347910037. The cubic root of 83660928 is about 437.3618445950.

The spelling of 83660928 in words is "eighty-three million, six hundred sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 16759 33518 50277 67036 100554 134072 201108 217867 268144 402216 435734 536288 653601 804432 871468 1072576 1307202 1608864 1742936 2145152 2614404 3217728 3485872 5228808 6435456 6971744 10457616 13943488 20915232 27886976 41830464 83660928