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3112027992 = 2333431033253
BaseRepresentation
bin1011100101111101…
…1100011101011000
322000212211101212000
42321133130131120
522333134343432
61232445321000
7140055541623
oct27137343530
98025741760
103112027992
111357727767
1272a266160
133a79799a8
14217448dba
1513332257c
hexb97dc758

3112027992 has 128 divisors (see below), whose sum is σ = 8934182400. Its totient is φ = 1003072896.

The previous prime is 3112027981. The next prime is 3112027999. The reversal of 3112027992 is 2997202113.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3112027999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 955038 + ... + 958290.

It is an arithmetic number, because the mean of its divisors is an integer number (69798300).

Almost surely, 23112027992 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 3112027992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4467091200).

3112027992 is an abundant number, since it is smaller than the sum of its proper divisors (5822154408).

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

3112027992 is a wasteful number, since it uses less digits than its factorization.

3112027992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3404 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 3112027992 is about 55785.5536138165. The cubic root of 3112027992 is about 1459.9831098315.

The spelling of 3112027992 in words is "three billion, one hundred twelve million, twenty-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 43 54 72 86 103 108 129 172 206 216 258 309 344 387 412 516 618 774 824 927 1032 1161 1236 1548 1854 2322 2472 2781 3096 3253 3708 4429 4644 5562 6506 7416 8858 9288 9759 11124 13012 13287 17716 19518 22248 26024 26574 29277 35432 39036 39861 53148 58554 78072 79722 87831 106296 117108 119583 139879 159444 175662 234216 239166 279758 318888 335059 351324 419637 478332 559516 670118 702648 839274 956664 1005177 1119032 1258911 1340236 1678548 2010354 2517822 2680472 3015531 3357096 3776733 4020708 5035644 6031062 7553466 8041416 9046593 10071288 12062124 14407537 15106932 18093186 24124248 28815074 30213864 36186372 43222611 57630148 72372744 86445222 115260296 129667833 172890444 259335666 345780888 389003499 518671332 778006998 1037342664 1556013996 3112027992