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82037240 = 23517223541
BaseRepresentation
bin1001110001111…
…00100111111000
312201100220221022
410320330213320
5132000142430
612050202012
72014206425
oct470744770
9181326838
1082037240
114234287a
1223583308
1313cc475c
14ac76d4c
1573074e5
hex4e3c9f8

82037240 has 64 divisors (see below), whose sum is σ = 196680960. Its totient is φ = 30689280.

The previous prime is 82037237. The next prime is 82037273. The reversal of 82037240 is 4273028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151370 + ... + 151910.

It is an arithmetic number, because the mean of its divisors is an integer number (3073140).

Almost surely, 282037240 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 82037240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98340480).

82037240 is an abundant number, since it is smaller than the sum of its proper divisors (114643720).

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

82037240 is a wasteful number, since it uses less digits than its factorization.

82037240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 82037240 is about 9057.4411397480. The cubic root of 82037240 is about 434.5139063024.

The spelling of 82037240 in words is "eighty-two million, thirty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 223 340 446 541 680 892 1082 1115 1784 2164 2230 2705 3791 4328 4460 5410 7582 8920 9197 10820 15164 18394 18955 21640 30328 36788 37910 45985 73576 75820 91970 120643 151640 183940 241286 367880 482572 603215 965144 1206430 2050931 2412860 4101862 4825720 8203724 10254655 16407448 20509310 41018620 82037240