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51899040 = 25325231567
BaseRepresentation
bin1100010111111…
…0101010100000
310121122202002200
43011332222200
5101241232130
65052213200
71200064104
oct305765240
9117582080
1051899040
1127328576
121546a200
13a9a18bb
146c6d904
154852760
hex317eaa0

51899040 has 144 divisors (see below), whose sum is σ = 184923648. Its totient is φ = 13229568.

The previous prime is 51899039. The next prime is 51899069. The reversal of 51899040 is 4099815.

51899040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a junction number, because it is equal to n+sod(n) for n = 51898986 and 51899004.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 32337 + ... + 33903.

It is an arithmetic number, because the mean of its divisors is an integer number (1284192).

Almost surely, 251899040 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 51899040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92461824).

51899040 is an abundant number, since it is smaller than the sum of its proper divisors (133024608).

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

51899040 is a wasteful number, since it uses less digits than its factorization.

51899040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1600 counting only the distinct ones).

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

The square root of 51899040 is about 7204.0988333032. The cubic root of 51899040 is about 373.0093987143.

The spelling of 51899040 in words is "fifty-one million, eight hundred ninety-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 30 32 36 40 45 46 48 60 69 72 80 90 92 96 115 120 138 144 160 180 184 207 230 240 276 288 345 360 368 414 460 480 552 690 720 736 828 920 1035 1104 1380 1440 1567 1656 1840 2070 2208 2760 3134 3312 3680 4140 4701 5520 6268 6624 7835 8280 9402 11040 12536 14103 15670 16560 18804 23505 25072 28206 31340 33120 36041 37608 47010 50144 56412 62680 70515 72082 75216 94020 108123 112824 125360 141030 144164 150432 180205 188040 216246 225648 250720 282060 288328 324369 360410 376080 432492 451296 540615 564120 576656 648738 720820 752160 864984 1081230 1128240 1153312 1297476 1441640 1621845 1729968 2162460 2256480 2594952 2883280 3243690 3459936 4324920 5189904 5766560 6487380 8649840 10379808 12974760 17299680 25949520 51899040