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188055296 = 2811213467
BaseRepresentation
bin10110011010101…
…11111100000000
3111002212012100222
423031113330000
5341120232141
630354402212
74442305112
oct1315277400
9432765328
10188055296
1197174800
1252b90368
132cc64530
141ad933b2
151179a14b
hexb357f00

188055296 has 108 divisors (see below), whose sum is σ = 445293576. Its totient is φ = 78735360.

The previous prime is 188055281. The next prime is 188055367. The reversal of 188055296 is 692550881.

188055296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 402455 + ... + 402921.

Almost surely, 2188055296 is an apocalyptic number.

188055296 is a gapful number since it is divisible by the number (16) 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 188055296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222646788).

188055296 is an abundant number, since it is smaller than the sum of its proper divisors (257238280).

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

188055296 is a wasteful number, since it uses less digits than its factorization.

188055296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 518 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 44.

The square root of 188055296 is about 13713.3254901938. The cubic root of 188055296 is about 572.9215912821.

The spelling of 188055296 in words is "one hundred eighty-eight million, fifty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 121 128 143 176 208 242 256 286 352 416 467 484 572 704 832 934 968 1144 1408 1573 1664 1868 1936 2288 2816 3146 3328 3736 3872 4576 5137 6071 6292 7472 7744 9152 10274 12142 12584 14944 15488 18304 20548 24284 25168 29888 30976 36608 41096 48568 50336 56507 59776 66781 82192 97136 100672 113014 119552 133562 164384 194272 201344 226028 267124 328768 388544 402688 452056 534248 657536 734591 777088 904112 1068496 1315072 1469182 1554176 1808224 2136992 2938364 3616448 4273984 5876728 7232896 8547968 11753456 14465792 17095936 23506912 47013824 94027648 188055296