Search a number
-
+
262139648 = 28232112
BaseRepresentation
bin11111001111111…
…10111100000000
3200021021001222212
433213332330000
51014101432043
642002321252
76332102351
oct1747767400
9607231885
10262139648
11124a75441
1273959228
1342403124
1426b59d28
1518031018
hexf9fef00

262139648 has 54 divisors (see below), whose sum is σ = 548605512. Its totient is φ = 124776960.

The previous prime is 262139639. The next prime is 262139681. The reversal of 262139648 is 846931262.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1242263 + ... + 1242473.

Almost surely, 2262139648 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 262139648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274302756).

262139648 is an abundant number, since it is smaller than the sum of its proper divisors (286465864).

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

262139648 is an frugal number, since it uses more digits than its factorization.

262139648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 236 counting only the distinct ones).

The product of its digits is 124416, while the sum is 41.

The square root of 262139648 is about 16190.7272227037. The cubic root of 262139648 is about 639.9964583137.

The spelling of 262139648 in words is "two hundred sixty-two million, one hundred thirty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 211 256 368 422 736 844 1472 1688 2944 3376 4853 5888 6752 9706 13504 19412 27008 38824 44521 54016 77648 89042 155296 178084 310592 356168 621184 712336 1023983 1242368 1424672 2047966 2849344 4095932 5698688 8191864 11397376 16383728 32767456 65534912 131069824 262139648