Search a number
-
+
52074880 = 2751113569
BaseRepresentation
bin1100011010100…
…1100110000000
310121222200022021
43012221212000
5101312344010
65100051224
71201425544
oct306514600
9117880267
1052074880
11274386a0
1215533b14
13aa33950
146cb7a24
1548898da
hex31a9980

52074880 has 128 divisors (see below), whose sum is σ = 146512800. Its totient is φ = 17448960.

The previous prime is 52074863. The next prime is 52074881. The reversal of 52074880 is 8847025.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52074881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91236 + ... + 91804.

Almost surely, 252074880 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 52074880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73256400).

52074880 is an abundant number, since it is smaller than the sum of its proper divisors (94437920).

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

52074880 is a wasteful number, since it uses less digits than its factorization.

52074880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 34.

The square root of 52074880 is about 7216.2926769914. The cubic root of 52074880 is about 373.4301902889.

It can be divided in two parts, 520 and 74880, that multiplied together give a square (38937600 = 62402).

The spelling of 52074880 in words is "fifty-two million, seventy-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 64 65 80 88 104 110 128 130 143 160 176 208 220 260 286 320 352 416 440 520 569 572 640 704 715 832 880 1040 1138 1144 1408 1430 1664 1760 2080 2276 2288 2845 2860 3520 4160 4552 4576 5690 5720 6259 7040 7397 8320 9104 9152 11380 11440 12518 14794 18208 18304 22760 22880 25036 29588 31295 36416 36985 45520 45760 50072 59176 62590 72832 73970 81367 91040 91520 100144 118352 125180 147940 162734 182080 200288 236704 250360 295880 325468 364160 400576 406835 473408 500720 591760 650936 801152 813670 946816 1001440 1183520 1301872 1627340 2002880 2367040 2603744 3254680 4005760 4734080 5207488 6509360 10414976 13018720 26037440 52074880