Search a number
-
+
534252564 = 223319271193
BaseRepresentation
bin11111110110000…
…000110000010100
31101020021211202000
4133312000300110
52043232040224
6125002515300
716145033436
oct3766006024
91336254660
10534252564
1125463194a
1212ab05b30
13868b88a1
1450d50656
1531d820c9
hex1fd80c14

534252564 has 144 divisors (see below), whose sum is σ = 1490106240. Its totient is φ = 165473280.

The previous prime is 534252541. The next prime is 534252571. The reversal of 534252564 is 465252435.

534252564 is a `hidden beast` number, since 5 + 3 + 42 + 52 + 564 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (144000) is a multiple of the sum of its prime divisors (288).

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 47 ways as a sum of consecutive naturals, for example, 2768052 + ... + 2768244.

It is an arithmetic number, because the mean of its divisors is an integer number (10347960).

Almost surely, 2534252564 is an apocalyptic number.

534252564 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 534252564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745053120).

534252564 is an abundant number, since it is smaller than the sum of its proper divisors (955853676).

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

534252564 is a wasteful number, since it uses less digits than its factorization.

534252564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 288 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 534252564 is about 23113.9041271699. The cubic root of 534252564 is about 811.4259108732.

The spelling of 534252564 in words is "five hundred thirty-four million, two hundred fifty-two thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 71 76 108 114 142 171 193 213 228 284 342 361 386 426 513 579 639 684 722 772 852 1026 1083 1158 1278 1349 1444 1737 1917 2052 2166 2316 2556 2698 3249 3474 3667 3834 4047 4332 5211 5396 6498 6948 7334 7668 8094 9747 10422 11001 12141 12996 13703 14668 16188 19494 20844 22002 24282 25631 27406 33003 36423 38988 41109 44004 48564 51262 54812 66006 69673 72846 76893 82218 99009 102524 123327 132012 139346 145692 153786 164436 198018 209019 230679 246654 260357 278692 307572 369981 396036 418038 461358 493308 520714 627057 692037 739962 781071 836076 922716 1041428 1254114 1384074 1479924 1562142 1881171 2343213 2508228 2768148 3124284 3762342 4686426 4946783 7029639 7524684 9372852 9893566 14059278 14840349 19787132 28118556 29680698 44521047 59361396 89042094 133563141 178084188 267126282 534252564