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51128280 = 2333576763
BaseRepresentation
bin1100001100001…
…0011111011000
310120012120211000
43003002133120
5101042101110
65023505000
71160404020
oct303023730
9116176730
1051128280
1126951485
1215158160
13a791b28
146b0ca80
15474e1c0
hex30c27d8

51128280 has 128 divisors (see below), whose sum is σ = 194803200. Its totient is φ = 11684736.

The previous prime is 51128267. The next prime is 51128281. The reversal of 51128280 is 8282115.

It is a super-2 number, since 2×511282802 = 5228202031516800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51128281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4179 + ... + 10941.

It is an arithmetic number, because the mean of its divisors is an integer number (1521900).

Almost surely, 251128280 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 51128280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97401600).

51128280 is an abundant number, since it is smaller than the sum of its proper divisors (143674920).

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

51128280 is a wasteful number, since it uses less digits than its factorization.

51128280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6790 (or 6780 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 51128280 is about 7150.4041843801. The cubic root of 51128280 is about 371.1536429860.

The spelling of 51128280 in words is "fifty-one million, one hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 6763 7560 13526 20289 27052 33815 40578 47341 54104 60867 67630 81156 94682 101445 121734 135260 142023 162312 182601 189364 202890 236705 243468 270520 284046 304335 365202 378728 405780 426069 473410 486936 568092 608670 710115 730404 811560 852138 913005 946820 1136184 1217340 1278207 1420230 1460808 1704276 1826010 1893640 2130345 2434680 2556414 2840460 3408552 3652020 4260690 5112828 5680920 6391035 7304040 8521380 10225656 12782070 17042760 25564140 51128280