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82640388 = 22337373499
BaseRepresentation
bin1001110110011…
…11111000000100
312202111120022010
410323033320010
5132123443023
612111134220
72022301035
oct473177004
9182446263
1082640388
1142714a46
1223814370
131417614c
14ad92a8c
1573c6093
hex4ecfe04

82640388 has 48 divisors (see below), whose sum is σ = 198968000. Its totient is φ = 26676864.

The previous prime is 82640387. The next prime is 82640423. The reversal of 82640388 is 88304628.

It is not an unprimeable number, because it can be changed into a prime (82640381) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 165363 + ... + 165861.

Almost surely, 282640388 is an apocalyptic number.

It is an amenable number.

82640388 is an abundant number, since it is smaller than the sum of its proper divisors (116327612).

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

82640388 is a wasteful number, since it uses less digits than its factorization.

82640388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 914 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 39.

The square root of 82640388 is about 9090.6758824633. The cubic root of 82640388 is about 435.5761740070.

It can be divided in two parts, 82640 and 388, that added together give a triangular number (83028 = T407).

The spelling of 82640388 in words is "eighty-two million, six hundred forty thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 12 37 74 111 148 222 373 444 499 746 998 1119 1492 1497 1996 2238 2994 4476 5988 13801 18463 27602 36926 41403 55204 55389 73852 82806 110778 165612 186127 221556 372254 558381 744508 1116762 2233524 6886699 13773398 20660097 27546796 41320194 82640388