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39716864 = 211114143
BaseRepresentation
bin1001011110000…
…0100000000000
32202201211021222
42113200200000
540131414424
63535134212
7661405415
oct227404000
982654258
1039716864
1120467960
1211374368
1382c7a05
1453bc10c
153747e5e
hex25e0800

39716864 has 96 divisors (see below), whose sum is σ = 90810720. Its totient is φ = 17203200.

The previous prime is 39716857. The next prime is 39716881. The reversal of 39716864 is 46861793.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 923627 + ... + 923669.

It is an arithmetic number, because the mean of its divisors is an integer number (945945).

Almost surely, 239716864 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 39716864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45405360).

39716864 is an abundant number, since it is smaller than the sum of its proper divisors (51093856).

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

39716864 is a wasteful number, since it uses less digits than its factorization.

39716864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 97 counting only the distinct ones).

The product of its digits is 217728, while the sum is 44.

The square root of 39716864 is about 6302.1317028447. The cubic root of 39716864 is about 341.1863516478.

Subtracting 39716864 from its reverse (46861793), we obtain a square (7144929 = 26732).

The spelling of 39716864 in words is "thirty-nine million, seven hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 41 43 44 64 82 86 88 128 164 172 176 256 328 344 352 451 473 512 656 688 704 902 946 1024 1312 1376 1408 1763 1804 1892 2048 2624 2752 2816 3526 3608 3784 5248 5504 5632 7052 7216 7568 10496 11008 11264 14104 14432 15136 19393 20992 22016 22528 28208 28864 30272 38786 41984 44032 56416 57728 60544 77572 83968 88064 112832 115456 121088 155144 225664 230912 242176 310288 451328 461824 484352 620576 902656 923648 968704 1241152 1805312 2482304 3610624 4964608 9929216 19858432 39716864