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51239280 = 2435317197
BaseRepresentation
bin1100001101110…
…1100101110000
310120102020002010
43003131211300
5101104124110
65030122520
71161345441
oct303354560
9116366063
1051239280
1126a17914
12151b0440
13a800501
146b3b2c8
154772020
hex30dd970

51239280 has 160 divisors (see below), whose sum is σ = 167989248. Its totient is φ = 12902400.

The previous prime is 51239269. The next prime is 51239281. The reversal of 51239280 is 8293215.

It is a happy number.

51239280 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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51239281) 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 31 ways as a sum of consecutive naturals, for example, 528192 + ... + 528288.

Almost surely, 251239280 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 51239280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83994624).

51239280 is an abundant number, since it is smaller than the sum of its proper divisors (116749968).

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

51239280 is a wasteful number, since it uses less digits than its factorization.

51239280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 51239280 is about 7158.1617752046. The cubic root of 51239280 is about 371.4220415871.

The spelling of 51239280 in words is "fifty-one million, two hundred thirty-nine thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 71 80 93 97 120 124 142 155 186 194 213 240 248 284 291 310 355 372 388 426 465 485 496 568 582 620 710 744 776 852 930 970 1065 1136 1164 1240 1420 1455 1488 1552 1704 1860 1940 2130 2201 2328 2480 2840 2910 3007 3408 3720 3880 4260 4402 4656 5680 5820 6014 6603 6887 7440 7760 8520 8804 9021 11005 11640 12028 13206 13774 15035 17040 17608 18042 20661 22010 23280 24056 26412 27548 30070 33015 34435 35216 36084 41322 44020 45105 48112 52824 55096 60140 66030 68870 72168 82644 88040 90210 103305 105648 110192 120280 132060 137740 144336 165288 176080 180420 206610 213497 240560 264120 275480 330576 360840 413220 426994 528240 550960 640491 721680 826440 853988 1067485 1280982 1652880 1707976 2134970 2561964 3202455 3415952 4269940 5123928 6404910 8539880 10247856 12809820 17079760 25619640 51239280