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4648376041 = 29223512
BaseRepresentation
bin1000101010001000…
…01001011011101001
3102222221201222011121
410111010021123221
534004441013131
62045130455241
7223122354511
oct42504113351
912887658147
104648376041
111a759837a1
12a98894521
1359105748a
143214d0841
151c314b911
hex1151096e9

4648376041 has 9 divisors (see below), whose sum is σ = 4816240663. Its totient is φ = 4486178200.

The previous prime is 4648376027. The next prime is 4648376059. The reversal of 4648376041 is 1406738464.

The square root of 4648376041 is 68179.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2437495641 + 2210880400 = 49371^2 + 47020^2 .

It is not a de Polignac number, because 4648376041 - 27 = 4648375913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4648376071) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1976016 + ... + 1978366.

Almost surely, 24648376041 is an apocalyptic number.

4648376041 is the 68179-th square number.

4648376041 is the 34090-th centered octagonal number.

It is an amenable number.

4648376041 is a deficient number, since it is larger than the sum of its proper divisors (167864622).

4648376041 is an frugal number, since it uses more digits than its factorization.

4648376041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4760 (or 2380 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 43.

The cubic root of 4648376041 is about 1668.9132065058.

It can be divided in two parts, 4648 and 376041, that added together give a square (380689 = 6172).

The spelling of 4648376041 in words is "four billion, six hundred forty-eight million, three hundred seventy-six thousand, forty-one".

Divisors: 1 29 841 2351 68179 1977191 5527201 160288829 4648376041