Search a number
-
+
51382272 = 21138363
BaseRepresentation
bin1100010000000…
…0100000000000
310120200111020010
43010000200000
5101123213042
65033144520
71162512354
oct304004000
9116614203
1051382272
1127005297
121525b140
13a850616
146b77464
15479e59c
hex3100800

51382272 has 48 divisors (see below), whose sum is σ = 137002320. Its totient is φ = 17125376.

The previous prime is 51382259. The next prime is 51382277. The reversal of 51382272 is 27228315.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (51382277) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1963 + ... + 10325.

It is an arithmetic number, because the mean of its divisors is an integer number (2854215).

Almost surely, 251382272 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 51382272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68501160).

51382272 is an abundant number, since it is smaller than the sum of its proper divisors (85620048).

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

51382272 is an equidigital number, since it uses as much as digits as its factorization.

51382272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8388 (or 8368 counting only the distinct ones).

The product of its digits is 6720, while the sum is 30.

The square root of 51382272 is about 7168.1428557193. The cubic root of 51382272 is about 371.7672263261.

The spelling of 51382272 in words is "fifty-one million, three hundred eighty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 8363 16726 25089 33452 50178 66904 100356 133808 200712 267616 401424 535232 802848 1070464 1605696 2140928 3211392 4281856 6422784 8563712 12845568 17127424 25691136 51382272