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188257056 = 25313150847
BaseRepresentation
bin10110011100010…
…01001100100000
3111010020110010120
423032021030200
5341143211211
630403000240
74444105251
oct1316111440
9433213116
10188257056
11972a2349
1253069080
1330005310
141b006b28
15117d9d06
hexb389320

188257056 has 48 divisors (see below), whose sum is σ = 532191744. Its totient is φ = 57924864.

The previous prime is 188257051. The next prime is 188257057. The reversal of 188257056 is 650752881.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 188256999 and 188257017.

It is not an unprimeable number, because it can be changed into a prime (188257051) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 74176 + ... + 76671.

It is an arithmetic number, because the mean of its divisors is an integer number (11087328).

Almost surely, 2188257056 is an apocalyptic number.

188257056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

188257056 is an abundant number, since it is smaller than the sum of its proper divisors (343934688).

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

188257056 is a wasteful number, since it uses less digits than its factorization.

188257056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150873 (or 150865 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 42.

The square root of 188257056 is about 13720.6798665372. The cubic root of 188257056 is about 573.1264093125.

The spelling of 188257056 in words is "one hundred eighty-eight million, two hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 150847 301694 452541 603388 905082 1206776 1810164 1961011 2413552 3620328 3922022 4827104 5883033 7240656 7844044 11766066 14481312 15688088 23532132 31376176 47064264 62752352 94128528 188257056