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532990944 = 25329719079
BaseRepresentation
bin11111110001001…
…100101111100000
31101010220202010100
4133301030233200
52042421202234
6124515502400
716131230313
oct3761145740
91333822110
10532990944
1125394aa92
1212a5b7a00
1386566575
1450b0297a
1531bd3399
hex1fc4cbe0

532990944 has 72 divisors (see below), whose sum is σ = 1531398960. Its totient is φ = 175822848.

The previous prime is 532990943. The next prime is 532990961. The reversal of 532990944 is 449099235.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5329909442 = 568158692772022272, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 532990944.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (532990943) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18397 + ... + 37475.

It is an arithmetic number, because the mean of its divisors is an integer number (21269430).

Almost surely, 2532990944 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 532990944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (765699480).

532990944 is an abundant number, since it is smaller than the sum of its proper divisors (998408016).

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

532990944 is a wasteful number, since it uses less digits than its factorization.

532990944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19192 (or 19181 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 532990944 is about 23086.5966309458. The cubic root of 532990944 is about 810.7866888362.

The spelling of 532990944 in words is "five hundred thirty-two million, nine hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 97 144 194 288 291 388 582 776 873 1164 1552 1746 2328 3104 3492 4656 6984 9312 13968 19079 27936 38158 57237 76316 114474 152632 171711 228948 305264 343422 457896 610528 686844 915792 1373688 1831584 1850663 2747376 3701326 5494752 5551989 7402652 11103978 14805304 16655967 22207956 29610608 33311934 44415912 59221216 66623868 88831824 133247736 177663648 266495472 532990944