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2439409472 = 26294132057
BaseRepresentation
bin1001000101100110…
…0110111101000000
320022000011211200222
42101121212331000
514443442100342
61042021002212
7114310431653
oct22131467500
96260154628
102439409472
111041a8a495
12580b53368
132cb506776
14191d9b89a
15e425ced2
hex91666f40

2439409472 has 56 divisors (see below), whose sum is σ = 5129921160. Its totient is φ = 1148887040.

The previous prime is 2439409421. The next prime is 2439409493. The reversal of 2439409472 is 2749049342.

It can be written as a sum of positive squares in 4 ways, for example, as 546811456 + 1892598016 = 23384^2 + 43504^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60068 + ... + 92124.

It is an arithmetic number, because the mean of its divisors is an integer number (91605735).

Almost surely, 22439409472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2439409472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2564960580).

2439409472 is an abundant number, since it is smaller than the sum of its proper divisors (2690511688).

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

2439409472 is a wasteful number, since it uses less digits than its factorization.

2439409472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32139 (or 32129 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The square root of 2439409472 is about 49390.3783342464. The cubic root of 2439409472 is about 1346.1544833055.

The spelling of 2439409472 in words is "two billion, four hundred thirty-nine million, four hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 41 58 64 82 116 164 232 328 464 656 928 1189 1312 1856 2378 2624 4756 9512 19024 32057 38048 64114 76096 128228 256456 512912 929653 1025824 1314337 1859306 2051648 2628674 3718612 5257348 7437224 10514696 14874448 21029392 29748896 38115773 42058784 59497792 76231546 84117568 152463092 304926184 609852368 1219704736 2439409472