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389826816 = 2832329761
BaseRepresentation
bin10111001111000…
…100100100000000
31000011112020212020
4113033010210000
51244243424231
6102403201440
712442321221
oct2717044400
91004466766
10389826816
11190057725
12aa676280
13629bbc72
1439ab7248
1524354396
hex173c4900

389826816 has 144 divisors (see below), whose sum is σ = 1121420160. Its totient is φ = 119848960.

The previous prime is 389826803. The next prime is 389826821. The reversal of 389826816 is 618628983.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 511876 + ... + 512636.

It is an arithmetic number, because the mean of its divisors is an integer number (7787640).

Almost surely, 2389826816 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 389826816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560710080).

389826816 is an abundant number, since it is smaller than the sum of its proper divisors (731593344).

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

389826816 is a wasteful number, since it uses less digits than its factorization.

389826816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 832 (or 818 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 389826816 is about 19744.0324148843. The cubic root of 389826816 is about 730.5061954827.

The spelling of 389826816 in words is "three hundred eighty-nine million, eight hundred twenty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 116 128 138 174 184 192 232 256 276 348 368 384 464 552 667 696 736 761 768 928 1104 1334 1392 1472 1522 1856 2001 2208 2283 2668 2784 2944 3044 3712 4002 4416 4566 5336 5568 5888 6088 7424 8004 8832 9132 10672 11136 12176 16008 17503 17664 18264 21344 22069 22272 24352 32016 35006 36528 42688 44138 48704 52509 64032 66207 70012 73056 85376 88276 97408 105018 128064 132414 140024 146112 170752 176552 194816 210036 256128 264828 280048 292224 353104 420072 507587 512256 529656 560096 584448 706208 840144 1015174 1059312 1120192 1412416 1522761 1680288 2030348 2118624 2240384 2824832 3045522 3360576 4060696 4237248 4480768 5649664 6091044 6721152 8121392 8474496 12182088 13442304 16242784 16948992 24364176 32485568 48728352 64971136 97456704 129942272 194913408 389826816