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83790976 = 272922573
BaseRepresentation
bin1001111111010…
…00110010000000
312211200000121111
410333220302000
5132422302401
612151533104
72035132363
oct477506200
9184600544
1083790976
1143330445
122408a194
1314489a79
14b1b20da
157551e51
hex4fe8c80

83790976 has 32 divisors (see below), whose sum is σ = 172691100. Its totient is φ = 40449024.

The previous prime is 83790953. The next prime is 83790979. The reversal of 83790976 is 67909738.

It can be written as a sum of positive squares in 2 ways, for example, as 78145600 + 5645376 = 8840^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (83790979) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 7575 + ... + 14998.

Almost surely, 283790976 is an apocalyptic number.

It is an amenable number.

83790976 is an abundant number, since it is smaller than the sum of its proper divisors (88900124).

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

83790976 is a wasteful number, since it uses less digits than its factorization.

83790976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22616 (or 22604 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 49.

The square root of 83790976 is about 9153.7410931269. The cubic root of 83790976 is about 437.5883485251.

The spelling of 83790976 in words is "eighty-three million, seven hundred ninety thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 22573 45146 90292 180584 361168 654617 722336 1309234 1444672 2618468 2889344 5236936 10473872 20947744 41895488 83790976