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4077370242 = 232115327331
BaseRepresentation
bin1111001100000111…
…1011101110000010
3101112011021212110200
43303001323232002
531322301321432
61512332110030
7203020034541
oct36301735602
911464255420
104077370242
111802629680
12959605316
134cc970b1a
142a9734158
1518ce59a7c
hexf307bb82

4077370242 has 72 divisors (see below), whose sum is σ = 9824029488. Its totient is φ = 1212088800.

The previous prime is 4077370229. The next prime is 4077370243. The reversal of 4077370242 is 2420737704.

4077370242 is a `hidden beast` number, since 40 + 7 + 7 + 370 + 242 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4077370197 and 4077370206.

It is not an unprimeable number, because it can be changed into a prime (4077370243) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 552517 + ... + 559847.

It is an arithmetic number, because the mean of its divisors is an integer number (136444854).

Almost surely, 24077370242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4077370242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4912014744).

4077370242 is an abundant number, since it is smaller than the sum of its proper divisors (5746659246).

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

4077370242 is a wasteful number, since it uses less digits than its factorization.

4077370242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7456 (or 7400 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 36.

The square root of 4077370242 is about 63854.2891433301. The cubic root of 4077370242 is about 1597.5705632757.

The spelling of 4077370242 in words is "four billion, seventy-seven million, three hundred seventy thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1749 2809 3498 5247 5618 7331 8427 10494 14662 16854 21993 25281 30899 43986 50562 61798 65979 80641 92697 131958 161282 185394 241923 278091 388543 483846 556182 725769 777086 1165629 1451538 2331258 3496887 4273973 6993774 8547946 12821919 20592779 25643838 38465757 41185558 61778337 76931514 123556674 185335011 226520569 370670022 453041138 679561707 1359123414 2038685121 4077370242