Search a number
-
+
325564544 = 2719263509
BaseRepresentation
bin10011011001111…
…011100010000000
3211200121101121002
4103121323202000
51131321031134
652145551132
711032152524
oct2331734200
9750541532
10325564544
11157855508
12910454a8
13525abc56
1431349d84
151d8ad87e
hex1367b880

325564544 has 64 divisors (see below), whose sum is σ = 686664000. Its totient is φ = 153326592.

The previous prime is 325564543. The next prime is 325564571. The reversal of 325564544 is 445465523.

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

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 325564498 and 325564507.

It is not an unprimeable number, because it can be changed into a prime (325564543) 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, 639362 + ... + 639870.

It is an arithmetic number, because the mean of its divisors is an integer number (10729125).

Almost surely, 2325564544 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 325564544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343332000).

325564544 is an abundant number, since it is smaller than the sum of its proper divisors (361099456).

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

325564544 is a wasteful number, since it uses less digits than its factorization.

325564544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 793 counting only the distinct ones).

The product of its digits is 288000, while the sum is 38.

The square root of 325564544 is about 18043.4072170419. The cubic root of 325564544 is about 687.9322990891.

The spelling of 325564544 in words is "three hundred twenty-five million, five hundred sixty-four thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 263 304 509 526 608 1018 1052 1216 2036 2104 2432 4072 4208 4997 8144 8416 9671 9994 16288 16832 19342 19988 32576 33664 38684 39976 65152 77368 79952 133867 154736 159904 267734 309472 319808 535468 618944 639616 1070936 1237888 2141872 2543473 4283744 5086946 8567488 10173892 17134976 20347784 40695568 81391136 162782272 325564544