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4262968448 = 272921992
BaseRepresentation
bin1111111000010111…
…1011110010000000
3102000002112020100022
43332011323302000
532212304442243
61543002113012
7210432430304
oct37605736200
912002466308
104262968448
111898375322
129ab7ab768
1352c254b4b
142c6247d04
1519e3bbb68
hexfe17bc80

4262968448 has 72 divisors (see below), whose sum is σ = 8840001105. Its totient is φ = 2047643136.

The previous prime is 4262968417. The next prime is 4262968453. The reversal of 4262968448 is 8448692624.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 4260433984 + 2534464 = 65272^2 + 1592^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=46168.

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 4262968448.

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 8 ways as a sum of consecutive naturals, for example, 21421853 + ... + 21422051.

Almost surely, 24262968448 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 4262968448

4262968448 is an abundant number, since it is smaller than the sum of its proper divisors (4577032657).

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

4262968448 is an frugal number, since it uses more digits than its factorization.

4262968448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 230 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 53.

The square root of 4262968448 is about 65291.4117476411. The cubic root of 4262968448 is about 1621.4517860086.

The spelling of 4262968448 in words is "four billion, two hundred sixty-two million, nine hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 199 232 398 464 796 841 928 1592 1682 1856 3184 3364 3712 5771 6368 6728 11542 12736 13456 23084 25472 26912 39601 46168 53824 79202 92336 107648 158404 167359 184672 316808 334718 369344 633616 669436 738688 1148429 1267232 1338872 2296858 2534464 2677744 4593716 5068928 5355488 9187432 10710976 18374864 21421952 33304441 36749728 66608882 73499456 133217764 146998912 266435528 532871056 1065742112 2131484224 4262968448