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80217864 = 2334791567
BaseRepresentation
bin1001100100000…
…00011100001000
312120221111020000
410302000130020
5131013432424
611543203000
71662561216
oct462003410
9176844200
1080217864
114130a961
1222a46460
13138085bc
14a921cb6
1570983c9
hex4c80708

80217864 has 80 divisors (see below), whose sum is σ = 227673600. Its totient is φ = 26383968.

The previous prime is 80217847. The next prime is 80217869. The reversal of 80217864 is 46871208.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80217869) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 50409 + ... + 51975.

It is an arithmetic number, because the mean of its divisors is an integer number (2845920).

Almost surely, 280217864 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 80217864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113836800).

80217864 is an abundant number, since it is smaller than the sum of its proper divisors (147455736).

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

80217864 is a wasteful number, since it uses less digits than its factorization.

80217864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1664 (or 1651 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 80217864 is about 8956.4425973709. The cubic root of 80217864 is about 431.2777282738.

The spelling of 80217864 in words is "eighty million, two hundred seventeen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 79 81 108 158 162 216 237 316 324 474 632 648 711 948 1422 1567 1896 2133 2844 3134 4266 4701 5688 6268 6399 8532 9402 12536 12798 14103 17064 18804 25596 28206 37608 42309 51192 56412 84618 112824 123793 126927 169236 247586 253854 338472 371379 495172 507708 742758 990344 1015416 1114137 1485516 2228274 2971032 3342411 4456548 6684822 8913096 10027233 13369644 20054466 26739288 40108932 80217864