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188461056 = 212372313
BaseRepresentation
bin10110011101110…
…11000000000000
3111010121210222010
423032323000000
5341221223211
630411212520
74445615100
oct1316730000
9433553863
10188461056
1197421643
1253147140
1330077124
141b05b200
151182a4a6
hexb3bb000

188461056 has 156 divisors (see below), whose sum is σ = 586410072. Its totient is φ = 53673984.

The previous prime is 188461033. The next prime is 188461067. The reversal of 188461056 is 650164881.

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 11 ways as a sum of consecutive naturals, for example, 601956 + ... + 602268.

Almost surely, 2188461056 is an apocalyptic number.

188461056 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 188461056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293205036).

188461056 is an abundant number, since it is smaller than the sum of its proper divisors (397949016).

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

188461056 is an equidigital number, since it uses as much as digits as its factorization.

188461056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 188461056 is about 13728.1118876559. Note that the first 3 decimals coincide. The cubic root of 188461056 is about 573.3333525629. Note that the first 4 decimals are identical.

The spelling of 188461056 in words is "one hundred eighty-eight million, four hundred sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 313 336 384 392 448 512 588 626 672 768 784 896 939 1024 1176 1252 1344 1536 1568 1792 1878 2048 2191 2352 2504 2688 3072 3136 3584 3756 4096 4382 4704 5008 5376 6144 6272 6573 7168 7512 8764 9408 10016 10752 12288 12544 13146 14336 15024 15337 17528 18816 20032 21504 25088 26292 28672 30048 30674 35056 37632 40064 43008 46011 50176 52584 60096 61348 70112 75264 80128 86016 92022 100352 105168 120192 122696 140224 150528 160256 184044 200704 210336 240384 245392 280448 301056 320512 368088 420672 480768 490784 560896 602112 641024 736176 841344 961536 981568 1121792 1282048 1472352 1682688 1923072 1963136 2243584 2944704 3365376 3846144 3926272 4487168 5889408 6730752 7852544 8974336 11778816 13461504 15705088 23557632 26923008 31410176 47115264 62820352 94230528 188461056