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4122424096 = 257210724571
BaseRepresentation
bin1111010110110111…
…0011001100100000
3101122022001211201221
43311231303030200
531420320032341
61521021504424
7204105012100
oct36555631440
911568054657
104122424096
11182600126a
12970712114
135090b6acb
142b1701200
15191da8ed1
hexf5b73320

4122424096 has 72 divisors (see below), whose sum is σ = 9529709616. Its totient is φ = 1750170240.

The previous prime is 4122424073. The next prime is 4122424123. The reversal of 4122424096 is 6904242214.

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 11 ways as a sum of consecutive naturals, for example, 155491 + ... + 180061.

It is an arithmetic number, because the mean of its divisors is an integer number (132357078).

Almost surely, 24122424096 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 4122424096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4764854808).

4122424096 is an abundant number, since it is smaller than the sum of its proper divisors (5407285520).

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

4122424096 is a wasteful number, since it uses less digits than its factorization.

4122424096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24702 (or 24687 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The square root of 4122424096 is about 64206.1063762630. The cubic root of 4122424096 is about 1603.4332651621.

The spelling of 4122424096 in words is "four billion, one hundred twenty-two million, four hundred twenty-four thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 107 112 196 214 224 392 428 749 784 856 1498 1568 1712 2996 3424 5243 5992 10486 11984 20972 23968 24571 41944 49142 83888 98284 167776 171997 196568 343994 393136 687988 786272 1203979 1375976 2407958 2629097 2751952 4815916 5258194 5503904 9631832 10516388 18403679 19263664 21032776 36807358 38527328 42065552 73614716 84131104 128825753 147229432 257651506 294458864 515303012 588917728 1030606024 2061212048 4122424096