Search a number
-
+
51530584 = 2371922549
BaseRepresentation
bin1100010010010…
…0101101011000
310120222000200011
43010210231120
5101142434314
65040251304
71164000640
oct304445530
9116860604
1051530584
11270a6766
1215310b34
13a8a2c91
146bb5520
1547cd4c4
hex3124b58

51530584 has 48 divisors (see below), whose sum is σ = 116586000. Its totient is φ = 20913984.

The previous prime is 51530579. The next prime is 51530597. The reversal of 51530584 is 48503515.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18942 + ... + 21490.

It is an arithmetic number, because the mean of its divisors is an integer number (2428875).

Almost surely, 251530584 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 51530584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58293000).

51530584 is an abundant number, since it is smaller than the sum of its proper divisors (65055416).

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

51530584 is a wasteful number, since it uses less digits than its factorization.

51530584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2600 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The square root of 51530584 is about 7178.4806191840. The cubic root of 51530584 is about 372.1245776925.

The spelling of 51530584 in words is "fifty-one million, five hundred thirty thousand, five hundred eighty-four".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 361 532 722 1064 1444 2527 2549 2888 5054 5098 10108 10196 17843 20216 20392 35686 48431 71372 96862 142744 193724 339017 387448 678034 920189 1356068 1840378 2712136 3680756 6441323 7361512 12882646 25765292 51530584