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1059444401 = 536167273
BaseRepresentation
bin111111001001011…
…101011010110001
32201211112100111112
4333021131122301
54132204210101
6253043323105
735153062121
oct7711353261
92654470445
101059444401
114a4035294
12256980495
1313b6512a2
14a09c2c81
15630246bb
hex3f25d6b1

1059444401 has 24 divisors (see below), whose sum is σ = 1129005864. Its totient is φ = 993358080.

The previous prime is 1059444371. The next prime is 1059444461. The reversal of 1059444401 is 1044449501.

It can be written as a sum of positive squares in 4 ways, for example, as 59367025 + 1000077376 = 7705^2 + 31624^2 .

It is not a de Polignac number, because 1059444401 - 214 = 1059428017 is a prime.

It is a super-2 number, since 2×10594444012 = 2244844877620497602, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1059444461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14512901 + ... + 14512973.

It is an arithmetic number, because the mean of its divisors is an integer number (47041911).

Almost surely, 21059444401 is an apocalyptic number.

It is an amenable number.

1059444401 is a deficient number, since it is larger than the sum of its proper divisors (69561463).

1059444401 is an frugal number, since it uses more digits than its factorization.

1059444401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1059444401 is about 32549.1075300076. The cubic root of 1059444401 is about 1019.4346479349.

The spelling of 1059444401 in words is "one billion, fifty-nine million, four hundred forty-four thousand, four hundred one".

Divisors: 1 53 61 67 73 3233 3551 3869 4087 4453 4489 4891 216611 236009 237917 259223 273829 298351 327697 14512937 15812603 17367941 19989517 1059444401