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188085248 = 2101371199
BaseRepresentation
bin10110011010111…
…11010000000000
3111002220201110022
423031133100000
5341122211443
630355153012
74442461331
oct1315372000
9432821408
10188085248
119719525a
1252ba5768
132cc75060
141ada0288
15117a3e68
hexb35f400

188085248 has 88 divisors (see below), whose sum is σ = 412675200. Its totient is φ = 85155840.

The previous prime is 188085187. The next prime is 188085259. The reversal of 188085248 is 842580881.

It is a happy number.

188085248 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1880852483 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 188085199 and 188085208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 945053 + ... + 945251.

Almost surely, 2188085248 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 188085248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206337600).

188085248 is an abundant number, since it is smaller than the sum of its proper divisors (224589952).

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

188085248 is a wasteful number, since it uses less digits than its factorization.

188085248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 44.

The square root of 188085248 is about 13714.4175231761. The cubic root of 188085248 is about 572.9520065144.

The spelling of 188085248 in words is "one hundred eighty-eight million, eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 71 104 128 142 199 208 256 284 398 416 512 568 796 832 923 1024 1136 1592 1664 1846 2272 2587 3184 3328 3692 4544 5174 6368 6656 7384 9088 10348 12736 13312 14129 14768 18176 20696 25472 28258 29536 36352 41392 50944 56516 59072 72704 82784 101888 113032 118144 165568 183677 203776 226064 236288 331136 367354 452128 472576 662272 734708 904256 945152 1324544 1469416 1808512 2649088 2938832 3617024 5877664 7234048 11755328 14468096 23510656 47021312 94042624 188085248