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51299820 = 2232511131993
BaseRepresentation
bin1100001110110…
…0010111101100
310120112022010100
43003230113230
5101113043240
65031311100
71162020105
oct303542754
9116468110
1051299820
1126a59350
121521b490
13a821c30
146b553ac
154784e30
hex30ec5ec

51299820 has 144 divisors (see below), whose sum is σ = 182905632. Its totient is φ = 11473920.

The previous prime is 51299803. The next prime is 51299827. The reversal of 51299820 is 2899215.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (51299827) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24744 + ... + 26736.

It is an arithmetic number, because the mean of its divisors is an integer number (1270178).

Almost surely, 251299820 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 51299820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91452816).

51299820 is an abundant number, since it is smaller than the sum of its proper divisors (131605812).

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

51299820 is a wasteful number, since it uses less digits than its factorization.

51299820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 51299820 is about 7162.3892661597. The cubic root of 51299820 is about 371.5682643053.

The spelling of 51299820 in words is "fifty-one million, two hundred ninety-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 13 15 18 20 22 26 30 33 36 39 44 45 52 55 60 65 66 78 90 99 110 117 130 132 143 156 165 180 195 198 220 234 260 286 330 390 396 429 468 495 572 585 660 715 780 858 990 1170 1287 1430 1716 1980 1993 2145 2340 2574 2860 3986 4290 5148 5979 6435 7972 8580 9965 11958 12870 17937 19930 21923 23916 25740 25909 29895 35874 39860 43846 51818 59790 65769 71748 77727 87692 89685 103636 109615 119580 129545 131538 155454 179370 197307 219230 233181 259090 263076 284999 310908 328845 358740 388635 394614 438460 466362 518180 569998 657690 777270 789228 854997 932724 986535 1139996 1165905 1315380 1424995 1554540 1709994 1973070 2331810 2564991 2849990 3419988 3946140 4274985 4663620 5129982 5699980 8549970 10259964 12824955 17099940 25649910 51299820