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945501001 = 9723172
BaseRepresentation
bin111000010110110…
…011001101001001
32102220010102112121
4320112303031021
53414022013001
6233453211241
732300424454
oct7026631511
92386112477
10945501001
1144578a995
12224790b21
13120b68063
148d80249b
15580186a1
hex385b3349

945501001 has 9 divisors (see below), whose sum is σ = 958372149. Its totient is φ = 932801664.

The previous prime is 945500957. The next prime is 945501031. The reversal of 945501001 is 100105549.

The square root of 945501001 is 30749.

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

945501001 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 299324601 + 646176400 = 17301^2 + 25420^2 .

It is not a de Polignac number, because 945501001 - 215 = 945468233 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (945501031) 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, 2982495 + ... + 2982811.

Almost surely, 2945501001 is an apocalyptic number.

945501001 is the 30749-th square number.

945501001 is the 15375-th centered octagonal number.

It is an amenable number.

945501001 is a deficient number, since it is larger than the sum of its proper divisors (12871148).

945501001 is an frugal number, since it uses more digits than its factorization.

945501001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The cubic root of 945501001 is about 981.4932812013.

Multiplying 945501001 by its sum of digits (25), we get a square (23637525025 = 1537452).

Multiplying 945501001 by its product of nonzero digits (900), we get a square (850950900900 = 9224702).

The spelling of 945501001 in words is "nine hundred forty-five million, five hundred one thousand, one".

Divisors: 1 97 317 9409 30749 100489 2982653 9747433 945501001