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4072305377 = 72733113381
BaseRepresentation
bin1111001010111010…
…0111001011100001
3101111210202112210002
43302232213023201
531320002233002
61512031345345
7202626011300
oct36256471341
911453675702
104072305377
1117aa78a338
12957982255
134cb8b966a
142a8bb6437
1518c7a9002
hexf2ba72e1

4072305377 has 12 divisors (see below), whose sum is σ = 4743676116. Its totient is φ = 3485754720.

The previous prime is 4072305299. The next prime is 4072305389. The reversal of 4072305377 is 7735032704.

It can be written as a sum of positive squares in 2 ways, for example, as 3948739921 + 123565456 = 62839^2 + 11116^2 .

It is not a de Polignac number, because 4072305377 - 226 = 4005196513 is a prime.

It is a super-2 number, since 2×40723053772 = 33167342167086224258, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 4072305377.

It is not an unprimeable number, because it can be changed into a prime (4072305577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20774 + ... + 92607.

It is an arithmetic number, because the mean of its divisors is an integer number (395306343).

Almost surely, 24072305377 is an apocalyptic number.

It is an amenable number.

4072305377 is a deficient number, since it is larger than the sum of its proper divisors (671370739).

4072305377 is a wasteful number, since it uses less digits than its factorization.

4072305377 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114128 (or 114121 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 38.

The square root of 4072305377 is about 63814.6172675195. The cubic root of 4072305377 is about 1596.9087942557.

The spelling of 4072305377 in words is "four billion, seventy-two million, three hundred five thousand, three hundred seventy-seven".

Divisors: 1 7 49 733 5131 35917 113381 793667 5555669 83108273 581757911 4072305377