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52001880 = 23357311997
BaseRepresentation
bin1100011001011…
…1110001011000
310121211222011120
43012113301120
5101303030010
65054325240
71201002660
oct306276130
9117758146
1052001880
1127398867
12154b9820
13aa09658
146c991a0
154872e70
hex3197c58

52001880 has 128 divisors (see below), whose sum is σ = 184135680. Its totient is φ = 11496960.

The previous prime is 52001869. The next prime is 52001941. The reversal of 52001880 is 8810025.

52001880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×520018803 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 52001880.

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 31 ways as a sum of consecutive naturals, for example, 25042 + ... + 27038.

It is an arithmetic number, because the mean of its divisors is an integer number (1438560).

Almost surely, 252001880 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 52001880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92067840).

52001880 is an abundant number, since it is smaller than the sum of its proper divisors (132133800).

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

52001880 is a wasteful number, since it uses less digits than its factorization.

52001880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 52001880 is about 7211.2329042959. The cubic root of 52001880 is about 373.2556137820.

The spelling of 52001880 in words is "fifty-two million, one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 31 35 40 42 56 60 62 70 84 93 105 120 124 140 155 168 186 210 217 248 280 310 372 420 434 465 620 651 744 840 868 930 1085 1240 1302 1736 1860 1997 2170 2604 3255 3720 3994 4340 5208 5991 6510 7988 8680 9985 11982 13020 13979 15976 19970 23964 26040 27958 29955 39940 41937 47928 55916 59910 61907 69895 79880 83874 111832 119820 123814 139790 167748 185721 209685 239640 247628 279580 309535 335496 371442 419370 433349 495256 559160 619070 742884 838740 866698 928605 1238140 1300047 1485768 1677480 1733396 1857210 2166745 2476280 2600094 3466792 3714420 4333490 5200188 6500235 7428840 8666980 10400376 13000470 17333960 26000940 52001880