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4395557401 = 16723972
BaseRepresentation
bin1000001011111111…
…01110001000011001
3102100100000110012021
410011333232020121
533000230314101
62004100014441
7213632423104
oct40577561031
912310013167
104395557401
1119561a5374
12a28091421
13550868b51
142d9abd73b
151aad5c5a1
hex105fee219

4395557401 has 9 divisors (see below), whose sum is σ = 4433202399. Its totient is φ = 4358231064.

The previous prime is 4395557377. The next prime is 4395557423. The reversal of 4395557401 is 1047555934.

The square root of 4395557401 is 66299.

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., 2945775625 + 1449781776 = 54275^2 + 38076^2 .

It is not a de Polignac number, because 4395557401 - 27 = 4395557273 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4395557501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11071735 + ... + 11072131.

Almost surely, 24395557401 is an apocalyptic number.

4395557401 is the 66299-th square number.

4395557401 is the 33150-th centered octagonal number.

It is an amenable number.

4395557401 is a deficient number, since it is larger than the sum of its proper divisors (37644998).

4395557401 is an frugal number, since it uses more digits than its factorization.

4395557401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 43.

The cubic root of 4395557401 is about 1638.0908530805.

The spelling of 4395557401 in words is "four billion, three hundred ninety-five million, five hundred fifty-seven thousand, four hundred one".

Divisors: 1 167 397 27889 66299 157609 11071933 26320703 4395557401