Search a number
-
+
534992544 = 25323121933
BaseRepresentation
bin11111111000110…
…101011010100000
31101021200102210200
4133320311122200
52043424230134
6125030425200
716154235012
oct3770653240
91337612720
10534992544
11254a978a9
1212b202200
1386ab7648
14510a41b2
1531e7b499
hex1fe356a0

534992544 has 108 divisors (see below), whose sum is σ = 1572858378. Its totient is φ = 172488960.

The previous prime is 534992543. The next prime is 534992561. The reversal of 534992544 is 445299435.

534992544 is a `hidden beast` number, since 534 + 99 + 25 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 418611600 + 116380944 = 20460^2 + 10788^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 534992544.

It is not an unprimeable number, because it can be changed into a prime (534992543) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 275802 + ... + 277734.

Almost surely, 2534992544 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 534992544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786429189).

534992544 is an abundant number, since it is smaller than the sum of its proper divisors (1037865834).

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

534992544 is a wasteful number, since it uses less digits than its factorization.

534992544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2011 (or 1969 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 534992544 is about 23129.9058363842. The cubic root of 534992544 is about 811.8003666902.

It can be divided in two parts, 5349925 and 44, that added together give a square (5349969 = 23132).

The spelling of 534992544 in words is "five hundred thirty-four million, nine hundred ninety-two thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 961 992 1116 1488 1922 1933 2232 2883 2976 3844 3866 4464 5766 5799 7688 7732 8649 8928 11532 11598 15376 15464 17298 17397 23064 23196 30752 30928 34596 34794 46128 46392 59923 61856 69192 69588 92256 92784 119846 138384 139176 179769 185568 239692 276768 278352 359538 479384 539307 556704 719076 958768 1078614 1438152 1857613 1917536 2157228 2876304 3715226 4314456 5572839 5752608 7430452 8628912 11145678 14860904 16718517 17257824 22291356 29721808 33437034 44582712 59443616 66874068 89165424 133748136 178330848 267496272 534992544