Search a number
-
+
52213552000 = 275316719541
BaseRepresentation
bin110000101000001010…
…111001001110000000
311222202212000021010021
4300220022321032000
51323413132131000
635553033343224
73525620604061
oct605012711600
9158685007107
1052213552000
1120164209475
12a152267b14
134c015378cc
1427546d8568
151558d8c11a
hexc282b9380

52213552000 has 128 divisors (see below), whose sum is σ = 130599967680. Its totient is φ = 20759296000.

The previous prime is 52213551941. The next prime is 52213552031. The reversal of 52213552000 is 25531225.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (25).

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 15 ways as a sum of consecutive naturals, for example, 2662230 + ... + 2681770.

Almost surely, 252213552000 is an apocalyptic number.

52213552000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52213552000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65299983840).

52213552000 is an abundant number, since it is smaller than the sum of its proper divisors (78386415680).

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

52213552000 is a wasteful number, since it uses less digits than its factorization.

52213552000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19737 (or 19715 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The spelling of 52213552000 in words is "fifty-two billion, two hundred thirteen million, five hundred fifty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 167 200 250 320 334 400 500 640 668 800 835 1000 1336 1600 1670 2000 2672 3200 3340 4000 4175 5344 6680 8000 8350 10688 13360 16000 16700 19541 20875 21376 26720 33400 39082 41750 53440 66800 78164 83500 97705 106880 133600 156328 167000 195410 267200 312656 334000 390820 488525 534400 625312 668000 781640 977050 1250624 1336000 1563280 1954100 2442625 2501248 2672000 3126560 3263347 3908200 4885250 6253120 6526694 7816400 9770500 12506240 13053388 15632800 16316735 19541000 26106776 31265600 32633470 39082000 52213552 62531200 65266940 78164000 81583675 104427104 130533880 156328000 163167350 208854208 261067760 312656000 326334700 407918375 417708416 522135520 652669400 815836750 1044271040 1305338800 1631673500 2088542080 2610677600 3263347000 5221355200 6526694000 10442710400 13053388000 26106776000 52213552000