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51327744 = 283135397
BaseRepresentation
bin1100001111001…
…1001100000000
310120120201102120
43003303030000
5101114441434
65032044240
71162164366
oct303631400
9116521376
1051327744
1126a78326
1215233680
13a831860
146b61636
15478d349
hex30f3300

51327744 has 144 divisors (see below), whose sum is σ = 151435872. Its totient is φ = 15335424.

The previous prime is 51327719. The next prime is 51327791. The reversal of 51327744 is 44772315.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (23520) is a multiple of the sum of its prime divisors (168).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529104 + ... + 529200.

It is an arithmetic number, because the mean of its divisors is an integer number (1051638).

Almost surely, 251327744 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 51327744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75717936).

51327744 is an abundant number, since it is smaller than the sum of its proper divisors (100108128).

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

51327744 is a wasteful number, since it uses less digits than its factorization.

51327744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 168 counting only the distinct ones).

The product of its digits is 23520, while the sum is 33.

The square root of 51327744 is about 7164.3383504689. The cubic root of 51327744 is about 371.6356705859.

The spelling of 51327744 in words is "fifty-one million, three hundred twenty-seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 53 64 78 96 97 104 106 128 156 159 192 194 208 212 256 291 312 318 384 388 416 424 582 624 636 689 768 776 832 848 1164 1248 1261 1272 1378 1552 1664 1696 2067 2328 2496 2522 2544 2756 3104 3328 3392 3783 4134 4656 4992 5044 5088 5141 5512 6208 6784 7566 8268 9312 9984 10088 10176 10282 11024 12416 13568 15132 15423 16536 18624 20176 20352 20564 22048 24832 30264 30846 33072 37248 40352 40704 41128 44096 60528 61692 66144 66833 74496 80704 82256 88192 121056 123384 132288 133666 161408 164512 176384 200499 242112 246768 264576 267332 322816 329024 400998 484224 493536 529152 534664 658048 801996 968448 987072 1069328 1316096 1603992 1974144 2138656 3207984 3948288 4277312 6415968 8554624 12831936 17109248 25663872 51327744