Search a number
-
+
51057248 = 2511314679
BaseRepresentation
bin1100001011000…
…1001001100000
310120001222101012
43002301021200
5101032312443
65022200052
71156656644
oct302611140
9116058335
1051057248
1126903080
1215123028
13a7686b8
146ad0c24
154738118
hex30b1260

51057248 has 48 divisors (see below), whose sum is σ = 113218560. Its totient is φ = 22454400.

The previous prime is 51057247. The next prime is 51057257. The reversal of 51057248 is 84275015.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51057241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8573 + ... + 13251.

It is an arithmetic number, because the mean of its divisors is an integer number (2358720).

Almost surely, 251057248 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 51057248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56609280).

51057248 is an abundant number, since it is smaller than the sum of its proper divisors (62161312).

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

51057248 is a wasteful number, since it uses less digits than its factorization.

51057248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4731 (or 4723 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 32.

The square root of 51057248 is about 7145.4354660860. The cubic root of 51057248 is about 370.9816833322.

The spelling of 51057248 in words is "fifty-one million, fifty-seven thousand, two hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 88 124 176 248 341 352 496 682 992 1364 2728 4679 5456 9358 10912 18716 37432 51469 74864 102938 145049 149728 205876 290098 411752 580196 823504 1160392 1595539 1647008 2320784 3191078 4641568 6382156 12764312 25528624 51057248