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82062912 = 2632771543
BaseRepresentation
bin1001110010000…
…10111001000000
312201102020011010
410321002321000
5132002003122
612050520520
72014344321
oct471027100
9181366133
1082062912
1142360098
1223596140
1314003349
14ac82448
15730ee0c
hex4e42e40

82062912 has 56 divisors (see below), whose sum is σ = 218049856. Its totient is φ = 27237888.

The previous prime is 82062907. The next prime is 82062917. The reversal of 82062912 is 21926028.

It is an interprime number because it is at equal distance from previous prime (82062907) and next prime (82062917).

It is a self number, because there is not a number n which added to its sum of digits gives 82062912.

It is not an unprimeable number, because it can be changed into a prime (82062917) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52413 + ... + 53955.

Almost surely, 282062912 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 82062912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109024928).

82062912 is an abundant number, since it is smaller than the sum of its proper divisors (135986944).

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

82062912 is a wasteful number, since it uses less digits than its factorization.

82062912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1835 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 82062912 is about 9058.8582061980. The cubic root of 82062912 is about 434.5592258737.

The spelling of 82062912 in words is "eighty-two million, sixty-two thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 277 554 831 1108 1543 1662 2216 3086 3324 4432 4629 6172 6648 8864 9258 12344 13296 17728 18516 24688 26592 37032 49376 53184 74064 98752 148128 296256 427411 854822 1282233 1709644 2564466 3419288 5128932 6838576 10257864 13677152 20515728 27354304 41031456 82062912