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4023491761 = 13724632
BaseRepresentation
bin1110111111010001…
…1001110010110001
3101101101220120002101
43233310121302301
531220003214021
61503125220401
7201464054452
oct35764316261
911341816071
104023491761
111785179a03
12943561701
134c1758273
142a250b129
15188365a91
hexefd19cb1

4023491761 has 9 divisors (see below), whose sum is σ = 4061847531. Its totient is φ = 3985496592.

The previous prime is 4023491753. The next prime is 4023491803. The reversal of 4023491761 is 1671943204.

The square root of 4023491761 is 63431.

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., 2363418225 + 1660073536 = 48615^2 + 40744^2 .

It is not a de Polignac number, because 4023491761 - 23 = 4023491753 is a prime.

It is a super-2 number, since 2×40234917612 = 32376971901669762242, 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 4023491761.

It is not an unprimeable number, because it can be changed into a prime (4023491701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8689816 + ... + 8690278.

Almost surely, 24023491761 is an apocalyptic number.

4023491761 is the 63431-st square number.

4023491761 is the 31716-th centered octagonal number.

It is an amenable number.

4023491761 is a deficient number, since it is larger than the sum of its proper divisors (38355770).

4023491761 is an frugal number, since it uses more digits than its factorization.

4023491761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The cubic root of 4023491761 is about 1590.5025587248.

The spelling of 4023491761 in words is "four billion, twenty-three million, four hundred ninety-one thousand, seven hundred sixty-one".

Divisors: 1 137 463 18769 63431 214369 8690047 29368553 4023491761