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3115992 = 2331122937
BaseRepresentation
bin1011111000101111011000
312212022100010
423320233120
51244202432
6150441520
735325345
oct13705730
95768303
103115992
111839100
1210632a0
138513a9
145b17cc
154183cc
hex2f8bd8

3115992 has 96 divisors (see below), whose sum is σ = 9097200. Its totient is φ = 887040.

The previous prime is 3115991. The next prime is 3115993. The reversal of 3115992 is 2995113.

It is an interprime number because it is at equal distance from previous prime (3115991) and next prime (3115993).

It is a super-2 number, since 2×31159922 = 19418812288128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3115991) 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 23 ways as a sum of consecutive naturals, for example, 84198 + ... + 84234.

Almost surely, 23115992 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 3115992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4548600).

3115992 is an abundant number, since it is smaller than the sum of its proper divisors (5981208).

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

3115992 is a wasteful number, since it uses less digits than its factorization.

3115992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 82 counting only the distinct ones).

The product of its digits is 2430, while the sum is 30.

The square root of 3115992 is about 1765.2172670807. The cubic root of 3115992 is about 146.0602741062.

The spelling of 3115992 in words is "three million, one hundred fifteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 37 44 58 66 74 87 88 111 116 121 132 148 174 222 232 242 264 296 319 348 363 407 444 484 638 696 726 814 888 957 968 1073 1221 1276 1452 1628 1914 2146 2442 2552 2904 3219 3256 3509 3828 4292 4477 4884 6438 7018 7656 8584 8954 9768 10527 11803 12876 13431 14036 17908 21054 23606 25752 26862 28072 35409 35816 42108 47212 53724 70818 84216 94424 107448 129833 141636 259666 283272 389499 519332 778998 1038664 1557996 3115992