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4102324056 = 23352239463
BaseRepresentation
bin1111010010000100…
…0111111101011000
3101120220020122200000
43310201013331120
531400143332211
61515023013000
7203442115305
oct36441077530
911526218600
104102324056
111815722866
12965a3a160
13504b99cac
142acb8c0ac
15190238656
hexf4847f58

4102324056 has 96 divisors (see below), whose sum is σ = 11574850560. Its totient is φ = 1361165472.

The previous prime is 4102324013. The next prime is 4102324063. The reversal of 4102324056 is 6504232014.

4102324056 is a `hidden beast` number, since 410 + 2 + 3 + 240 + 5 + 6 = 666.

It is a super-2 number, since 2×41023240562 = 33658125320872582272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 428781 + ... + 438243.

It is an arithmetic number, because the mean of its divisors is an integer number (120571360).

Almost surely, 24102324056 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 4102324056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5787425280).

4102324056 is an abundant number, since it is smaller than the sum of its proper divisors (7472526504).

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

4102324056 is a wasteful number, since it uses less digits than its factorization.

4102324056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9707 (or 9691 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 4102324056 is about 64049.3876317331. The cubic root of 4102324056 is about 1600.8230213665.

The spelling of 4102324056 in words is "four billion, one hundred two million, three hundred twenty-four thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 223 243 324 446 486 648 669 892 972 1338 1784 1944 2007 2676 4014 5352 6021 8028 9463 12042 16056 18063 18926 24084 28389 36126 37852 48168 54189 56778 72252 75704 85167 108378 113556 144504 170334 216756 227112 255501 340668 433512 511002 681336 766503 1022004 1533006 2044008 2110249 2299509 3066012 4220498 4599018 6132024 6330747 8440996 9198036 12661494 16881992 18396072 18992241 25322988 37984482 50645976 56976723 75968964 113953446 151937928 170930169 227906892 341860338 455813784 512790507 683720676 1025581014 1367441352 2051162028 4102324056