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52133280 = 2535313347
BaseRepresentation
bin1100011011011…
…1110110100000
310122002122102020
43012313312200
5101321231110
65101221440
71202061033
oct306676640
9118078366
1052133280
1127478561
1215561880
13aa543c4
146cd101a
15489bd70
hex31b7da0

52133280 has 96 divisors (see below), whose sum is σ = 165219264. Its totient is φ = 13817856.

The previous prime is 52133273. The next prime is 52133299. The reversal of 52133280 is 8233125.

It is a tau number, because it is divible by the number of its divisors (96).

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 52133280.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 150067 + ... + 150413.

It is an arithmetic number, because the mean of its divisors is an integer number (1721034).

Almost surely, 252133280 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 52133280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82609632).

52133280 is an abundant number, since it is smaller than the sum of its proper divisors (113085984).

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

52133280 is a wasteful number, since it uses less digits than its factorization.

52133280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 52133280 is about 7220.3379422296. The cubic root of 52133280 is about 373.5697340625.

The spelling of 52133280 in words is "fifty-two million, one hundred thirty-three thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 313 347 480 626 694 939 1041 1252 1388 1565 1735 1878 2082 2504 2776 3130 3470 3756 4164 4695 5008 5205 5552 6260 6940 7512 8328 9390 10016 10410 11104 12520 13880 15024 16656 18780 20820 25040 27760 30048 33312 37560 41640 50080 55520 75120 83280 108611 150240 166560 217222 325833 434444 543055 651666 868888 1086110 1303332 1629165 1737776 2172220 2606664 3258330 3475552 4344440 5213328 6516660 8688880 10426656 13033320 17377760 26066640 52133280