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855138816 = 293378837
BaseRepresentation
bin110010111110000…
…110001000000000
32012121002112221000
4302332012020000
53222403420231
6220504332000
730122363040
oct6276061000
92177075830
10855138816
113a97814a4
121ba474000
1310821a2cc
14817dd720
15501196e6
hex32f86200

855138816 has 160 divisors (see below), whose sum is σ = 2893207680. Its totient is φ = 244297728.

The previous prime is 855138799. The next prime is 855138841. The reversal of 855138816 is 618831558.

855138816 is a `hidden beast` number, since 8 + 551 + 3 + 88 + 16 = 666.

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, 92350 + ... + 101186.

It is an arithmetic number, because the mean of its divisors is an integer number (18082548).

Almost surely, 2855138816 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 855138816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1446603840).

855138816 is an abundant number, since it is smaller than the sum of its proper divisors (2038068864).

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

855138816 is an equidigital number, since it uses as much as digits as its factorization.

855138816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8871 (or 8849 counting only the distinct ones).

The product of its digits is 230400, while the sum is 45.

The square root of 855138816 is about 29242.7566416027. The cubic root of 855138816 is about 949.1733588397.

The spelling of 855138816 in words is "eight hundred fifty-five million, one hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 84 96 108 112 126 128 144 168 189 192 216 224 252 256 288 336 378 384 432 448 504 512 576 672 756 768 864 896 1008 1152 1344 1512 1536 1728 1792 2016 2304 2688 3024 3456 3584 4032 4608 5376 6048 6912 8064 8837 10752 12096 13824 16128 17674 24192 26511 32256 35348 48384 53022 61859 70696 79533 96768 106044 123718 141392 159066 185577 212088 238599 247436 282784 318132 371154 424176 477198 494872 556731 565568 636264 742308 848352 954396 989744 1113462 1131136 1272528 1484616 1670193 1696704 1908792 1979488 2226924 2262272 2545056 2969232 3340386 3393408 3817584 3958976 4453848 4524544 5090112 5938464 6680772 6786816 7635168 7917952 8907696 10180224 11876928 13361544 13573632 15270336 15835904 17815392 20360448 23753856 26723088 30540672 31671808 35630784 40720896 47507712 53446176 61081344 71261568 95015424 106892352 122162688 142523136 213784704 285046272 427569408 855138816