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51764112 = 2432617183
BaseRepresentation
bin1100010101110…
…1101110010000
310121101220000100
43011131232100
5101222422422
65045252400
71165662531
oct305355620
9117356010
1051764112
1127246164
1215404100
13a95536a
146c36688
1548277ac
hex315db90

51764112 has 120 divisors (see below), whose sum is σ = 151115328. Its totient is φ = 16531200.

The previous prime is 51764087. The next prime is 51764123. The reversal of 51764112 is 21146715.

It is a happy number.

51764112 is a `hidden beast` number, since 5 + 1 + 7 + 641 + 12 = 666.

51764112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×517641122 = 5359046582297088, which contains 22 as substring.

It is an unprimeable number.

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, 623623 + ... + 623705.

Almost surely, 251764112 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 51764112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75557664).

51764112 is an abundant number, since it is smaller than the sum of its proper divisors (99351216).

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

51764112 is a wasteful number, since it uses less digits than its factorization.

51764112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 220 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 51764112 is about 7194.7280699134. The cubic root of 51764112 is about 372.6858661338.

It can be divided in two parts, 517641 and 12, that added together give a triangular number (517653 = T1017).

The spelling of 51764112 in words is "fifty-one million, seven hundred sixty-four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 71 72 83 122 142 144 166 183 213 244 249 284 332 366 426 488 498 549 568 639 664 732 747 852 976 996 1098 1136 1278 1328 1464 1494 1704 1992 2196 2556 2928 2988 3408 3984 4331 4392 5063 5112 5893 5976 8662 8784 10126 10224 11786 11952 12993 15189 17324 17679 20252 23572 25986 30378 34648 35358 38979 40504 45567 47144 51972 53037 60756 69296 70716 77958 81008 91134 94288 103944 106074 121512 141432 155916 182268 207888 212148 243024 282864 311832 359473 364536 424296 623664 718946 729072 848592 1078419 1437892 2156838 2875784 3235257 4313676 5751568 6470514 8627352 12941028 17254704 25882056 51764112