Search a number
-
+
115863552 = 212327449
BaseRepresentation
bin1101110011111…
…11000000000000
322002000110220200
412321333000000
5214130113202
615255205200
72604552420
oct671770000
9262013820
10115863552
115a447002
1232976800
131b00921c
1411560480
15a289e1c
hex6e7f000

115863552 has 156 divisors (see below), whose sum is σ = 383338800. Its totient is φ = 33030144.

The previous prime is 115863547. The next prime is 115863607. The reversal of 115863552 is 255368511.

It is a happy number.

115863552 is a `hidden beast` number, since 1 + 15 + 8 + 635 + 5 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 257824 + ... + 258272.

It is an arithmetic number, because the mean of its divisors is an integer number (2457300).

Almost surely, 2115863552 is an apocalyptic number.

115863552 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 115863552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191669400).

115863552 is an abundant number, since it is smaller than the sum of its proper divisors (267475248).

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

115863552 is an equidigital number, since it uses as much as digits as its factorization.

115863552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 461 counting only the distinct ones).

The product of its digits is 36000, while the sum is 36.

The square root of 115863552 is about 10763.9933110347. The cubic root of 115863552 is about 487.5085978760.

The spelling of 115863552 in words is "one hundred fifteen million, eight hundred sixty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 449 504 512 576 672 768 896 898 1008 1024 1152 1344 1347 1536 1792 1796 2016 2048 2304 2688 2694 3072 3143 3584 3592 4032 4041 4096 4608 5376 5388 6144 6286 7168 7184 8064 8082 9216 9429 10752 10776 12288 12572 14336 14368 16128 16164 18432 18858 21504 21552 25144 28287 28672 28736 32256 32328 36864 37716 43008 43104 50288 56574 57472 64512 64656 75432 86016 86208 100576 113148 114944 129024 129312 150864 172416 201152 226296 229888 258048 258624 301728 344832 402304 452592 459776 517248 603456 689664 804608 905184 919552 1034496 1206912 1379328 1609216 1810368 1839104 2068992 2413824 2758656 3218432 3620736 4137984 4827648 5517312 6436864 7241472 8275968 9655296 12873728 14482944 16551936 19310592 28965888 38621184 57931776 115863552