Search a number
-
+
4050256644 = 22327103315559
BaseRepresentation
bin1111000101101010…
…0000001100000100
3101110021021100121100
43301122200030010
531243331203034
61505523020100
7202240420260
oct36132401404
911407240540
104050256644
11179929a845
1295050a630
134c7169885
142a5cb70a0
1518a8a1099
hexf16a0304

4050256644 has 72 divisors (see below), whose sum is σ = 11712821120. Its totient is φ = 1156021632.

The previous prime is 4050256607. The next prime is 4050256649. The reversal of 4050256644 is 4466520504.

4050256644 is a `hidden beast` number, since 4 + 0 + 5 + 0 + 2 + 5 + 6 + 644 = 666.

It is a super-2 number, since 2×40502566442 = 32809157764532285472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4050256599 and 4050256608.

It is not an unprimeable number, because it can be changed into a prime (4050256649) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 252537 + ... + 268095.

Almost surely, 24050256644 is an apocalyptic number.

It is an amenable number.

4050256644 is an abundant number, since it is smaller than the sum of its proper divisors (7662564476).

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

4050256644 is a wasteful number, since it uses less digits than its factorization.

4050256644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16609 (or 16604 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4050256644 is about 63641.6266605435. The cubic root of 4050256644 is about 1594.0215228091.

The spelling of 4050256644 in words is "four billion, fifty million, two hundred fifty-six thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 1033 2066 3099 4132 6198 7231 9297 12396 14462 15559 18594 21693 28924 31118 37188 43386 46677 62236 65079 86772 93354 108913 130158 140031 186708 217826 260316 280062 326739 435652 560124 653478 980217 1306956 1960434 3920868 16072447 32144894 48217341 64289788 96434682 112507129 144652023 192869364 225014258 289304046 337521387 450028516 578608092 675042774 1012564161 1350085548 2025128322 4050256644