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82247004 = 22327378821
BaseRepresentation
bin1001110011011…
…11110101011100
312201202120200100
410321233311130
5132023401004
612054501100
72016042120
oct471576534
9181676610
1082247004
1142476434
1223664790
1314069088
14accd580
157349739
hex4e6fd5c

82247004 has 72 divisors (see below), whose sum is σ = 244051808. Its totient is φ = 22861440.

The previous prime is 82246993. The next prime is 82247017. The reversal of 82247004 is 40074228.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4914 + ... + 13734.

Almost surely, 282247004 is an apocalyptic number.

82247004 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82247004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122025904).

82247004 is an abundant number, since it is smaller than the sum of its proper divisors (161804804).

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

82247004 is a wasteful number, since it uses less digits than its factorization.

82247004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8875 (or 8870 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 82247004 is about 9069.0133972776. The cubic root of 82247004 is about 434.8839325689.

The spelling of 82247004 in words is "eighty-two million, two hundred forty-seven thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 111 126 148 222 252 259 333 444 518 666 777 1036 1332 1554 2331 3108 4662 8821 9324 17642 26463 35284 52926 61747 79389 105852 123494 158778 185241 246988 317556 326377 370482 555723 652754 740964 979131 1111446 1305508 1958262 2222892 2284639 2937393 3916524 4569278 5874786 6853917 9138556 11749572 13707834 20561751 27415668 41123502 82247004