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51472764 = 223271571301
BaseRepresentation
bin1100010001011…
…0100101111100
310120212002100200
43010112211330
5101134112024
65035123500
71163340240
oct304264574
9116762320
1051472764
1127067282
12152a3590
13a882875
146b9c420
1547bb2c9
hex311697c

51472764 has 72 divisors (see below), whose sum is σ = 149761248. Its totient is φ = 14601600.

The previous prime is 51472739. The next prime is 51472769. The reversal of 51472764 is 46727415.

51472764 is a `hidden beast` number, since 514 + 72 + 76 + 4 = 666.

51472764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (47040) is a multiple of the sum of its prime divisors (1470).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51472769) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 38914 + ... + 40214.

Almost surely, 251472764 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 51472764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74880624).

51472764 is an abundant number, since it is smaller than the sum of its proper divisors (98288484).

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

51472764 is a wasteful number, since it uses less digits than its factorization.

51472764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1470 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 51472764 is about 7174.4521742081. The cubic root of 51472764 is about 371.9853445492.

The spelling of 51472764 in words is "fifty-one million, four hundred seventy-two thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 157 252 314 471 628 942 1099 1301 1413 1884 2198 2602 2826 3297 3903 4396 5204 5652 6594 7806 9107 9891 11709 13188 15612 18214 19782 23418 27321 36428 39564 46836 54642 81963 109284 163926 204257 327852 408514 612771 817028 1225542 1429799 1838313 2451084 2859598 3676626 4289397 5719196 7353252 8578794 12868191 17157588 25736382 51472764