Search a number
-
+
32005255324 = 22727111320353
BaseRepresentation
bin11101110011101010…
…010111000010011100
310001121111112102112211
4131303222113002130
51011021321132244
622411503410204
72212056116200
oct356352270234
9101544472484
1032005255324
1112634150039
1262525b3964
13303095c503
1417988b0b00
15c74bc8934
hex773a9709c

32005255324 has 72 divisors (see below), whose sum is σ = 66659187168. Its totient is φ = 13403013120.

The previous prime is 32005255307. The next prime is 32005255327. The reversal of 32005255324 is 42355250023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32005255327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1562332 + ... + 1582684.

It is an arithmetic number, because the mean of its divisors is an integer number (925822044).

Almost surely, 232005255324 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 32005255324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33329593584).

32005255324 is an abundant number, since it is smaller than the sum of its proper divisors (34653931844).

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

32005255324 is a wasteful number, since it uses less digits than its factorization.

32005255324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20555 (or 20546 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 31.

The spelling of 32005255324 in words is "thirty-two billion, five million, two hundred fifty-five thousand, three hundred twenty-four".

Divisors: 1 2 4 7 14 28 49 71 98 113 142 196 226 284 452 497 791 994 1582 1988 3164 3479 5537 6958 8023 11074 13916 16046 20353 22148 32092 40706 56161 81412 112322 142471 224644 284942 393127 569884 786254 997297 1445063 1572508 1994594 2299889 2890126 3989188 4599778 5780252 9199556 10115441 16099223 20230882 32198446 40461764 64396892 70808087 112694561 141616174 163292119 225389122 283232348 326584238 450778244 653168476 1143044833 2286089666 4572179332 8001313831 16002627662 32005255324