Search a number
-
+
52340736 = 211371217
BaseRepresentation
bin1100011110101…
…0100000000000
310122111011222210
43013222200000
5101344400421
65105502120
71203613620
oct307524000
9118434883
1052340736
11275aa408
1215641940
13aac7966
146d46880
1548dd576
hex31ea800

52340736 has 96 divisors (see below), whose sum is σ = 159606720. Its totient is φ = 14942208.

The previous prime is 52340719. The next prime is 52340749. The reversal of 52340736 is 63704325.

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

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42400 + ... + 43616.

It is an arithmetic number, because the mean of its divisors is an integer number (1662570).

Almost surely, 252340736 is an apocalyptic number.

52340736 is a gapful number since it is divisible by the number (56) 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 52340736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79803360).

52340736 is an abundant number, since it is smaller than the sum of its proper divisors (107265984).

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

52340736 is a wasteful number, since it uses less digits than its factorization.

52340736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1229 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 30.

The square root of 52340736 is about 7234.6897652906. The cubic root of 52340736 is about 374.0645984483.

The spelling of 52340736 in words is "fifty-two million, three hundred forty thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1217 1344 1536 1792 2048 2434 2688 3072 3584 3651 4868 5376 6144 7168 7302 8519 9736 10752 14336 14604 17038 19472 21504 25557 29208 34076 38944 43008 51114 58416 68152 77888 102228 116832 136304 155776 204456 233664 272608 311552 408912 467328 545216 623104 817824 934656 1090432 1246208 1635648 1869312 2180864 2492416 3271296 3738624 4361728 6542592 7477248 8723456 13085184 17446912 26170368 52340736