Search a number
-
+
32145152 = 28132743
BaseRepresentation
bin111101010011…
…1111100000000
32020111010212012
41322213330000
531212121102
63104552052
7540141434
oct172477400
966433765
1032145152
1117166146
12a922628
136876500
1443aa9c4
152c4e752
hex1ea7f00

32145152 has 54 divisors (see below), whose sum is σ = 69573672. Its totient is φ = 14816256.

The previous prime is 32145143. The next prime is 32145161. The reversal of 32145152 is 25154123.

It is an interprime number because it is at equal distance from previous prime (32145143) and next prime (32145161).

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 42893 + ... + 43635.

Almost surely, 232145152 is an apocalyptic number.

32145152 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34786836).

32145152 is an abundant number, since it is smaller than the sum of its proper divisors (37428520).

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

32145152 is an equidigital number, since it uses as much as digits as its factorization.

32145152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 758 counting only the distinct ones).

The product of its digits is 1200, while the sum is 23.

The square root of 32145152 is about 5669.6694789026. The cubic root of 32145152 is about 317.9595164898.

Adding to 32145152 its reverse (25154123), we get a palindrome (57299275).

The spelling of 32145152 in words is "thirty-two million, one hundred forty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 743 832 1352 1486 1664 2704 2972 3328 5408 5944 9659 10816 11888 19318 21632 23776 38636 43264 47552 77272 95104 125567 154544 190208 251134 309088 502268 618176 1004536 1236352 2009072 2472704 4018144 8036288 16072576 32145152