Search a number
-
+
51528448 = 283143151
BaseRepresentation
bin1100010010010…
…0001100000000
310120221220202001
43010210030000
5101142402243
65040233344
71163661466
oct304441400
9116856661
1051528448
11270a50a4
121530b854
13a8a200a
146bb4836
1547cca4d
hex3124300

51528448 has 72 divisors (see below), whose sum is σ = 109362176. Its totient is φ = 24192000.

The previous prime is 51528413. The next prime is 51528467. The reversal of 51528448 is 84482515.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 341173 + ... + 341323.

Almost surely, 251528448 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 51528448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54681088).

51528448 is an abundant number, since it is smaller than the sum of its proper divisors (57833728).

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

51528448 is a wasteful number, since it uses less digits than its factorization.

51528448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 227 counting only the distinct ones).

The product of its digits is 51200, while the sum is 37.

The square root of 51528448 is about 7178.3318396407. The cubic root of 51528448 is about 372.1194359623.

The spelling of 51528448 in words is "fifty-one million, five hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 128 151 172 248 256 302 344 496 604 688 992 1208 1333 1376 1984 2416 2666 2752 3968 4681 4832 5332 5504 6493 7936 9362 9664 10664 11008 12986 18724 19328 21328 25972 37448 38656 42656 51944 74896 85312 103888 149792 170624 201283 207776 299584 341248 402566 415552 599168 805132 831104 1198336 1610264 1662208 3220528 6441056 12882112 25764224 51528448