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4112304192 = 263216742751
BaseRepresentation
bin1111010100011100…
…1100100001000000
3101121121000200211200
43311013030201000
531410222213232
61520020541200
7203623003023
oct36507144100
911547020750
104112304192
11182031a007
12969251800
13506c827b9
142b02291ba
1519105a77c
hexf51cc840

4112304192 has 84 divisors (see below), whose sum is σ = 11858036736. Its totient is φ = 1362528000.

The previous prime is 4112304187. The next prime is 4112304221. The reversal of 4112304192 is 2914032114.

It is a happy number.

4112304192 is a `hidden beast` number, since 4 + 11 + 230 + 419 + 2 = 666.

It is a super-3 number, since 3×41123041923 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 74817 + ... + 117567.

It is an arithmetic number, because the mean of its divisors is an integer number (141167104).

Almost surely, 24112304192 is an apocalyptic number.

4112304192 is the 32064-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112304192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5929018368).

4112304192 is an abundant number, since it is smaller than the sum of its proper divisors (7745732544).

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

4112304192 is a wasteful number, since it uses less digits than its factorization.

4112304192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42936 (or 42923 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4112304192 is about 64127.2499956142. The cubic root of 4112304192 is about 1602.1201310784.

The spelling of 4112304192 in words is "four billion, one hundred twelve million, three hundred four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 167 192 288 334 501 576 668 1002 1336 1503 2004 2672 3006 4008 5344 6012 8016 10688 12024 16032 24048 32064 42751 48096 85502 96192 128253 171004 256506 342008 384759 513012 684016 769518 1026024 1368032 1539036 2052048 2736064 3078072 4104096 6156144 7139417 8208192 12312288 14278834 21418251 24624576 28557668 42836502 57115336 64254753 85673004 114230672 128509506 171346008 228461344 257019012 342692016 456922688 514038024 685384032 1028076048 1370768064 2056152096 4112304192