Search a number
-
+
532922240 = 2753126861
BaseRepresentation
bin11111110000111…
…011111110000000
31101010210020212202
4133300323332000
52042412002430
6124514212332
716130523104
oct3760737600
91333706782
10532922240
11253903404
1212a5840a8
1386541206
1450ac5904
1531bbcd45
hex1fc3bf80

532922240 has 64 divisors (see below), whose sum is σ = 1315163520. Its totient is φ = 206284800.

The previous prime is 532922231. The next prime is 532922249. The reversal of 532922240 is 42229235.

It is an interprime number because it is at equal distance from previous prime (532922231) and next prime (532922249).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×5329222402 = 568012227773235200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532922249) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 6410 + ... + 33270.

It is an arithmetic number, because the mean of its divisors is an integer number (20549430).

Almost surely, 2532922240 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 532922240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657581760).

532922240 is an abundant number, since it is smaller than the sum of its proper divisors (782241280).

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

532922240 is a wasteful number, since it uses less digits than its factorization.

532922240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26911 (or 26899 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 29.

The square root of 532922240 is about 23085.1086200607. The cubic root of 532922240 is about 810.7518497938.

The spelling of 532922240 in words is "five hundred thirty-two million, nine hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 124 128 155 160 248 310 320 496 620 640 992 1240 1984 2480 3968 4960 9920 19840 26861 53722 107444 134305 214888 268610 429776 537220 832691 859552 1074440 1665382 1719104 2148880 3330764 3438208 4163455 4297760 6661528 8326910 8595520 13323056 16653820 17191040 26646112 33307640 53292224 66615280 106584448 133230560 266461120 532922240