Search a number
-
+
52097024 = 21272379
BaseRepresentation
bin1100011010111…
…1000000000000
310122000210200102
43012233000000
5101314101044
65100341532
71201550240
oct306570000
9118023612
1052097024
11274532a1
12155448a8
13aa40a55
146cc1b20
15489124e
hex31af000

52097024 has 104 divisors (see below), whose sum is σ = 125813760. Its totient is φ = 21086208.

The previous prime is 52097011. The next prime is 52097029. The reversal of 52097024 is 42079025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52097029) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 659417 + ... + 659495.

Almost surely, 252097024 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 52097024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62906880).

52097024 is an abundant number, since it is smaller than the sum of its proper divisors (73716736).

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

52097024 is an equidigital number, since it uses as much as digits as its factorization.

52097024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 52097024 is about 7217.8268197568. The cubic root of 52097024 is about 373.4831145030.

The spelling of 52097024 in words is "fifty-two million, ninety-seven thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 79 92 112 128 158 161 184 224 256 316 322 368 448 512 553 632 644 736 896 1024 1106 1264 1288 1472 1792 1817 2048 2212 2528 2576 2944 3584 3634 4096 4424 5056 5152 5888 7168 7268 8848 10112 10304 11776 12719 14336 14536 17696 20224 20608 23552 25438 28672 29072 35392 40448 41216 47104 50876 58144 70784 80896 82432 94208 101752 116288 141568 161792 164864 203504 232576 283136 323584 329728 407008 465152 566272 659456 814016 930304 1132544 1628032 1860608 2265088 3256064 3721216 6512128 7442432 13024256 26048512 52097024