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2390427664 = 241727192
BaseRepresentation
bin1000111001111011…
…0000100000010000
320011121000022021221
42032132300200100
514343422141124
61033111054424
7113144204602
oct21636604020
96147008257
102390427664
111017374759
12568671414
132c1316951
1418968b172
15decd4ce4
hex8e7b0810

2390427664 has 45 divisors (see below), whose sum is σ = 4926770077. Its totient is φ = 1123342592.

The previous prime is 2390427659. The next prime is 2390427671. The reversal of 2390427664 is 4667240932.

The square root of 2390427664 is 48892.

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., 1861059600 + 529368064 = 43140^2 + 23008^2 .

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 2390427664.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3324297 + ... + 3325015.

Almost surely, 22390427664 is an apocalyptic number.

2390427664 is the 48892-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2390427664

2390427664 is an abundant number, since it is smaller than the sum of its proper divisors (2536342413).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2390427664 is an frugal number, since it uses more digits than its factorization.

2390427664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 43.

The cubic root of 2390427664 is about 1337.0835180855.

The spelling of 2390427664 in words is "two billion, three hundred ninety million, four hundred twenty-seven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 719 1156 1438 2312 2876 4624 5752 11504 12223 24446 48892 97784 195568 207791 415582 516961 831164 1033922 1662328 2067844 3324656 4135688 8271376 8788337 17576674 35153348 70306696 140613392 149401729 298803458 597606916 1195213832 2390427664