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1382855112 = 2333192231511
BaseRepresentation
bin101001001101100…
…1011000111001000
310120101002022121000
41102123023013020
510313002330422
6345115215000
746161034362
oct12233130710
93511068530
101382855112
1164a649571
12327147460
13190657a82
14d192bd32
1581609cac
hex526cb1c8

1382855112 has 128 divisors (see below), whose sum is σ = 4064256000. Its totient is φ = 434445120.

The previous prime is 1382855087. The next prime is 1382855119. The reversal of 1382855112 is 2115582831.

1382855112 is a `hidden beast` number, since 13 + 82 + 8 + 551 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1382855119) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 914437 + ... + 915947.

It is an arithmetic number, because the mean of its divisors is an integer number (31752000).

Almost surely, 21382855112 is an apocalyptic number.

1382855112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1382855112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032128000).

1382855112 is an abundant number, since it is smaller than the sum of its proper divisors (2681400888).

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

1382855112 is a wasteful number, since it uses less digits than its factorization.

1382855112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1768 (or 1758 counting only the distinct ones).

The product of its digits is 19200, while the sum is 36.

The square root of 1382855112 is about 37186.7599018791. The cubic root of 1382855112 is about 1114.1035545000.

The spelling of 1382855112 in words is "one billion, three hundred eighty-two million, eight hundred fifty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 223 228 342 446 456 513 669 684 892 1026 1338 1368 1511 1784 2007 2052 2676 3022 4014 4104 4237 4533 5352 6021 6044 8028 8474 9066 12042 12088 12711 13599 16056 16948 18132 24084 25422 27198 28709 33896 36264 38133 40797 48168 50844 54396 57418 76266 81594 86127 101688 108792 114399 114836 152532 163188 172254 228798 229672 258381 305064 326376 336953 344508 457596 516762 673906 689016 775143 915192 1010859 1033524 1347812 1550286 2021718 2067048 2695624 3032577 3100572 4043436 6065154 6201144 6402107 8086872 9097731 12130308 12804214 18195462 19206321 24260616 25608428 36390924 38412642 51216856 57618963 72781848 76825284 115237926 153650568 172856889 230475852 345713778 460951704 691427556 1382855112