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52395420 = 223571121031
BaseRepresentation
bin1100011111011…
…1110110011100
310122120222000010
43013313312130
5101403123140
65111003220
71204232220
oct307676634
9118528003
1052395420
1127637500
1215669510
13ab1680c
146d5c780
1548ee880
hex31f7d9c

52395420 has 144 divisors (see below), whose sum is σ = 184472064. Its totient is φ = 10876800.

The previous prime is 52395419. The next prime is 52395433. The reversal of 52395420 is 2459325.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50305 + ... + 51335.

It is an arithmetic number, because the mean of its divisors is an integer number (1281056).

Almost surely, 252395420 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 52395420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92236032).

52395420 is an abundant number, since it is smaller than the sum of its proper divisors (132076644).

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

52395420 is a wasteful number, since it uses less digits than its factorization.

52395420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1072 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 52395420 is about 7238.4680699717. The cubic root of 52395420 is about 374.1948235240.

The spelling of 52395420 in words is "fifty-two million, three hundred ninety-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 121 132 140 154 165 210 220 231 242 308 330 363 385 420 462 484 605 660 726 770 847 924 1031 1155 1210 1452 1540 1694 1815 2062 2310 2420 2541 3093 3388 3630 4124 4235 4620 5082 5155 6186 7217 7260 8470 10164 10310 11341 12372 12705 14434 15465 16940 20620 21651 22682 25410 28868 30930 34023 36085 43302 45364 50820 56705 61860 68046 72170 79387 86604 108255 113410 124751 136092 144340 158774 170115 216510 226820 238161 249502 317548 340230 374253 396935 433020 476322 499004 623755 680460 748506 793870 873257 952644 1190805 1247510 1497012 1587740 1746514 1871265 2381610 2495020 2619771 3493028 3742530 4366285 4763220 5239542 7485060 8732570 10479084 13098855 17465140 26197710 52395420