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4268444256 = 25336180989
BaseRepresentation
bin1111111001101011…
…0100101001100000
3102000110211102202000
43332122310221200
532220210204011
61543315324000
7210530114616
oct37632645140
912013742660
104268444256
1118a047538a
129b15b0600
1353042137b
142c6c716b6
1519eaee356
hexfe6b4a60

4268444256 has 96 divisors (see below), whose sum is σ = 12653877600. Its totient is φ = 1399472640.

The previous prime is 4268444249. The next prime is 4268444291. The reversal of 4268444256 is 6524448624.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×42684442563 (a number of 30 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 12210 + ... + 93198.

It is an arithmetic number, because the mean of its divisors is an integer number (131811225).

Almost surely, 24268444256 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 4268444256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6326938800).

4268444256 is an abundant number, since it is smaller than the sum of its proper divisors (8385433344).

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

4268444256 is a wasteful number, since it uses less digits than its factorization.

4268444256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81069 (or 81055 counting only the distinct ones).

The product of its digits is 1474560, while the sum is 45.

The square root of 4268444256 is about 65333.3318911564. The cubic root of 4268444256 is about 1622.1457437420.

The spelling of 4268444256 in words is "four billion, two hundred sixty-eight million, four hundred forty-four thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 72 96 108 122 144 183 216 244 288 366 432 488 549 732 864 976 1098 1464 1647 1952 2196 2928 3294 4392 5856 6588 8784 13176 17568 26352 52704 80989 161978 242967 323956 485934 647912 728901 971868 1295824 1457802 1943736 2186703 2591648 2915604 3887472 4373406 4940329 5831208 7774944 8746812 9880658 11662416 14820987 17493624 19761316 23324832 29641974 34987248 39522632 44462961 59283948 69974496 79045264 88925922 118567896 133388883 158090528 177851844 237135792 266777766 355703688 474271584 533555532 711407376 1067111064 1422814752 2134222128 4268444256