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855189312 = 26323316247
BaseRepresentation
bin110010111110010…
…010011101000000
32012121012010012020
4302332102131000
53222412024222
6220505401440
730122663205
oct6276223500
92177163166
10855189312
113a980642a
121ba499280
131082372a3
1481813cac
155012965c
hex32f92740

855189312 has 112 divisors (see below), whose sum is σ = 2437619712. Its totient is φ = 263831040.

The previous prime is 855189287. The next prime is 855189319. The reversal of 855189312 is 213981558.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855189319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133773 + ... + 140019.

Almost surely, 2855189312 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 855189312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218809856).

855189312 is an abundant number, since it is smaller than the sum of its proper divisors (1582430400).

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

855189312 is a wasteful number, since it uses less digits than its factorization.

855189312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6316 (or 6306 counting only the distinct ones).

The product of its digits is 86400, while the sum is 42.

The square root of 855189312 is about 29243.6200221518. The cubic root of 855189312 is about 949.1920413871.

It can be divided in two parts, 85518 and 9312, that added together give a triangular number (94830 = T435).

The spelling of 855189312 in words is "eight hundred fifty-five million, one hundred eighty-nine thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 138 184 186 192 248 276 368 372 496 552 713 736 744 992 1104 1426 1472 1488 1984 2139 2208 2852 2976 4278 4416 5704 5952 6247 8556 11408 12494 17112 18741 22816 24988 34224 37482 45632 49976 68448 74964 99952 136896 143681 149928 193657 199904 287362 299856 387314 399808 431043 574724 580971 599712 774628 862086 1149448 1161942 1199424 1549256 1724172 2298896 2323884 3098512 3448344 4454111 4597792 4647768 6197024 6896688 8908222 9195584 9295536 12394048 13362333 13793376 17816444 18591072 26724666 27586752 35632888 37182144 53449332 71265776 106898664 142531552 213797328 285063104 427594656 855189312