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52827120 = 2433537661
BaseRepresentation
bin1100100110000…
…1001111110000
310200101220012000
43021201033300
5102010431440
65124134000
71211010633
oct311411760
9120356160
1052827120
1127901885
1215837300
13ac38168
147031c1a
154987730
hex32613f0

52827120 has 160 divisors (see below), whose sum is σ = 187160640. Its totient is φ = 13685760.

The previous prime is 52827119. The next prime is 52827133. The reversal of 52827120 is 2172825.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79590 + ... + 80250.

It is an arithmetic number, because the mean of its divisors is an integer number (1169754).

Almost surely, 252827120 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 52827120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93580320).

52827120 is an abundant number, since it is smaller than the sum of its proper divisors (134333520).

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

52827120 is a wasteful number, since it uses less digits than its factorization.

52827120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 52827120 is about 7268.2267438489. The cubic root of 52827120 is about 375.2197112468.

Adding to 52827120 its reverse (2172825), we get a palindrome (54999945).

The spelling of 52827120 in words is "fifty-two million, eight hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 37 40 45 48 54 60 72 74 80 90 108 111 120 135 144 148 180 185 216 222 240 270 296 333 360 370 432 444 540 555 592 661 666 720 740 888 999 1080 1110 1322 1332 1480 1665 1776 1983 1998 2160 2220 2644 2664 2960 3305 3330 3966 3996 4440 4995 5288 5328 5949 6610 6660 7932 7992 8880 9915 9990 10576 11898 13220 13320 15864 15984 17847 19830 19980 23796 24457 26440 26640 29745 31728 35694 39660 39960 47592 48914 52880 59490 71388 73371 79320 79920 89235 95184 97828 118980 122285 142776 146742 158640 178470 195656 220113 237960 244570 285552 293484 356940 366855 391312 440226 475920 489140 586968 660339 713880 733710 880452 978280 1100565 1173936 1320678 1427760 1467420 1760904 1956560 2201130 2641356 2934840 3301695 3521808 4402260 5282712 5869680 6603390 8804520 10565424 13206780 17609040 26413560 52827120