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51331840 = 285717337
BaseRepresentation
bin1100001111010…
…0001100000000
310120120221001021
43003310030000
5101120104330
65032115224
71162212340
oct303641400
9116527037
1051331840
1126a8040a
1215235b14
13a833691
146b62d20
15478e67a
hex30f4300

51331840 has 144 divisors (see below), whose sum is σ = 149228352. Its totient is φ = 16515072.

The previous prime is 51331807. The next prime is 51331853. The reversal of 51331840 is 4813315.

It is a super-4 number, since 4×513318404 (a number of 32 digits) contains 4444 as substring.

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, 152152 + ... + 152488.

It is an arithmetic number, because the mean of its divisors is an integer number (1036308).

Almost surely, 251331840 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 51331840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74614176).

51331840 is an abundant number, since it is smaller than the sum of its proper divisors (97896512).

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

51331840 is a wasteful number, since it uses less digits than its factorization.

51331840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 51331840 is about 7164.6242050787. The cubic root of 51331840 is about 371.6455559429.

The spelling of 51331840 in words is "fifty-one million, three hundred thirty-one thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 64 68 70 80 85 112 119 128 136 140 160 170 224 238 256 272 280 320 337 340 448 476 544 560 595 640 674 680 896 952 1088 1120 1190 1280 1348 1360 1685 1792 1904 2176 2240 2359 2380 2696 2720 3370 3808 4352 4480 4718 4760 5392 5440 5729 6740 7616 8960 9436 9520 10784 10880 11458 11795 13480 15232 18872 19040 21568 21760 22916 23590 26960 28645 30464 37744 38080 40103 43136 45832 47180 53920 57290 75488 76160 80206 86272 91664 94360 107840 114580 150976 152320 160412 183328 188720 200515 215680 229160 301952 320824 366656 377440 401030 431360 458320 603904 641648 733312 754880 802060 916640 1283296 1466624 1509760 1604120 1833280 2566592 3019520 3208240 3666560 5133184 6416480 7333120 10266368 12832960 25665920 51331840