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4256014374 = 233532276551
BaseRepresentation
bin1111110110101101…
…1010000000100110
3101222121102221011000
43331223122000212
532204014424444
61542153054130
7210316345113
oct37553320046
911877387130
104256014374
111894455657
129a93b7346
1352a98b801
142c535790a
1519d996469
hexfdada026

4256014374 has 64 divisors (see below), whose sum is σ = 9680186880. Its totient is φ = 1385560800.

The previous prime is 4256014363. The next prime is 4256014381. The reversal of 4256014374 is 4734106524.

4256014374 is a `hidden beast` number, since 4 + 2 + 5 + 601 + 43 + 7 + 4 = 666.

It is a super-2 number, since 2×42560143742 = 36227316703389223752, which contains 22 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 31 ways as a sum of consecutive naturals, for example, 646399 + ... + 652949.

It is an arithmetic number, because the mean of its divisors is an integer number (151252920).

Almost surely, 24256014374 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4256014374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4840093440).

4256014374 is an abundant number, since it is smaller than the sum of its proper divisors (5424172506).

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

4256014374 is a wasteful number, since it uses less digits than its factorization.

4256014374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6842 (or 6836 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 4256014374 is about 65238.1358869182. The cubic root of 4256014374 is about 1620.5696282147.

The spelling of 4256014374 in words is "four billion, two hundred fifty-six million, fourteen thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 27 53 54 106 159 227 318 454 477 681 954 1362 1431 2043 2862 4086 6129 6551 12031 12258 13102 19653 24062 36093 39306 58959 72186 108279 117918 176877 216558 324837 347203 353754 649674 694406 1041609 1487077 2083218 2974154 3124827 4461231 6249654 8922462 9374481 13383693 18748962 26767386 40151079 78815081 80302158 157630162 236445243 472890486 709335729 1418671458 2128007187 4256014374