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5266259761 = 7414812
BaseRepresentation
bin1001110011110010…
…01011111100110001
3111121000101201021211
410321321023330301
541241130303021
62230322120121
7244334320000
oct47171137461
914530351254
105266259761
1122627369a4
12102b7b0041
1365c075149
1437d5b0c37
1520c4ed3e1
hex139e4bf31

5266259761 has 15 divisors (see below), whose sum is σ = 6147755243. Its totient is φ = 4510889040.

The previous prime is 5266259729. The next prime is 5266259833. The reversal of 5266259761 is 1679526625.

The square root of 5266259761 is 72569.

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., 2254445361 + 3011814400 = 47481^2 + 54880^2 .

It is not a de Polignac number, because 5266259761 - 25 = 5266259729 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (5266250761) 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 14 ways as a sum of consecutive naturals, for example, 3555141 + ... + 3556621.

Almost surely, 25266259761 is an apocalyptic number.

5266259761 is the 72569-th square number.

5266259761 is the 36285-th centered octagonal number.

It is an amenable number.

5266259761 is a deficient number, since it is larger than the sum of its proper divisors (881495482).

5266259761 is an frugal number, since it uses more digits than its factorization.

5266259761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2990 (or 1488 counting only the distinct ones).

The product of its digits is 1360800, while the sum is 49.

The cubic root of 5266259761 is about 1739.8057387609.

Multiplying 5266259761 by its sum of digits (49), we get a square (258046728289 = 5079832).

5266259761 divided by its sum of digits (49) gives a square (107474689 = 103672).

The spelling of 5266259761 in words is "five billion, two hundred sixty-six million, two hundred fifty-nine thousand, seven hundred sixty-one".

Divisors: 1 7 49 343 1481 2401 10367 72569 507983 2193361 3555881 15353527 107474689 752322823 5266259761