Search a number
-
+
532196352 = 2103319249
BaseRepresentation
bin11111101110001…
…010110000000000
31101002102101011000
4133232022300000
52042220240402
6124450452000
716121410602
oct3756126000
91332371130
10532196352
11253457aa6
1212a294000
13863489ac
1450977172
1531ac7c1c
hex1fb8ac00

532196352 has 88 divisors (see below), whose sum is σ = 1576190000. Its totient is φ = 177389568.

The previous prime is 532196351. The next prime is 532196363. The reversal of 532196352 is 253691235.

532196352 is a `hidden beast` number, since 5 + 3 + 2 + 19 + 635 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (532196351) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 18024 + ... + 37272.

It is an arithmetic number, because the mean of its divisors is an integer number (17911250).

Almost surely, 2532196352 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 532196352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (788095000).

532196352 is an abundant number, since it is smaller than the sum of its proper divisors (1043993648).

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

532196352 is a wasteful number, since it uses less digits than its factorization.

532196352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19278 (or 19254 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

The square root of 532196352 is about 23069.3812660851. The cubic root of 532196352 is about 810.3835769012.

The spelling of 532196352 in words is "five hundred thirty-two million, one hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1024 1152 1536 1728 2304 3072 3456 4608 6912 9216 13824 19249 27648 38498 57747 76996 115494 153992 173241 230988 307984 346482 461976 519723 615968 692964 923952 1039446 1231936 1385928 1847904 2078892 2463872 2771856 3695808 4157784 4927744 5543712 7391616 8315568 9855488 11087424 14783232 16631136 19710976 22174848 29566464 33262272 44349696 59132928 66524544 88699392 133049088 177398784 266098176 532196352