[go: up one dir, main page]

Search a number
-
+
564663036 = 2237137139353
BaseRepresentation
bin100001101010000…
…001001011111100
31110100111212001210
4201222001023330
52124023204121
6132010404420
716664361630
oct4152011374
91410455053
10564663036
1126a812773
12139130710
138cca5652
1454dc8dc0
153488c876
hex21a812fc

564663036 has 96 divisors (see below), whose sum is σ = 1531998720. Its totient is φ = 158552064.

The previous prime is 564663019. The next prime is 564663053. The reversal of 564663036 is 630366465.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (564663019) and next prime (564663053).

It is a junction number, because it is equal to n+sod(n) for n = 564662985 and 564663003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1599436 + ... + 1599788.

It is an arithmetic number, because the mean of its divisors is an integer number (15958320).

Almost surely, 2564663036 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 564663036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765999360).

564663036 is an abundant number, since it is smaller than the sum of its proper divisors (967335684).

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

564663036 is a wasteful number, since it uses less digits than its factorization.

564663036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 39.

The square root of 564663036 is about 23762.6394998535. The cubic root of 564663036 is about 826.5385606928.

The spelling of 564663036 in words is "five hundred sixty-four million, six hundred sixty-three thousand, thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 137 139 274 278 353 411 417 548 556 706 822 834 959 973 1059 1412 1644 1668 1918 1946 2118 2471 2877 2919 3836 3892 4236 4942 5754 5838 7413 9884 11508 11676 14826 19043 29652 38086 48361 49067 57129 76172 96722 98134 114258 133301 145083 147201 193444 196268 228516 266602 290166 294402 338527 343469 399903 533204 580332 588804 677054 686938 799806 1015581 1030407 1354108 1373876 1599612 2031162 2060814 4062324 4121628 6722179 13444358 20166537 26888716 40333074 47055253 80666148 94110506 141165759 188221012 282331518 564663036