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188057144 = 23115361661
BaseRepresentation
bin10110011010110…
…00011000111000
3111002212021220102
423031120120320
5341120312034
630354414532
74442313362
oct1315303070
9432767812
10188057144
1197176130
1252b91448
132cc65322
141ad93d32
151179a97e
hexb358638

188057144 has 64 divisors (see below), whose sum is σ = 398947680. Its totient is φ = 82368000.

The previous prime is 188057143. The next prime is 188057161. The reversal of 188057144 is 441750881.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 188057098 and 188057107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188057143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 284174 + ... + 284834.

Almost surely, 2188057144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 188057144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199473840).

188057144 is an abundant number, since it is smaller than the sum of its proper divisors (210890536).

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

188057144 is a wasteful number, since it uses less digits than its factorization.

188057144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 38.

The square root of 188057144 is about 13713.3928697460. The cubic root of 188057144 is about 572.9234679564.

The spelling of 188057144 in words is "one hundred eighty-eight million, fifty-seven thousand, one hundred forty-four".

Divisors: 1 2 4 8 11 22 44 53 61 88 106 122 212 244 424 488 583 661 671 1166 1322 1342 2332 2644 2684 3233 4664 5288 5368 6466 7271 12932 14542 25864 29084 35033 35563 40321 58168 70066 71126 80642 140132 142252 161284 280264 284504 322568 385363 443531 770726 887062 1541452 1774124 2137013 3082904 3548248 4274026 8548052 17096104 23507143 47014286 94028572 188057144