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52229296 = 247331307
BaseRepresentation
bin1100011100111…
…1010010110000
310122021112010101
43013033102300
5101332314141
65103242144
71202641000
oct307172260
9118245111
1052229296
1127533709
12155a9354
13aa89012
146d18000
1548ba531
hex31cf4b0

52229296 has 80 divisors (see below), whose sum is σ = 122214400. Its totient is φ = 21591360.

The previous prime is 52229293. The next prime is 52229323. The reversal of 52229296 is 69292225.

It is a happy number.

52229296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (52229293) by changing a digit.

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, 169975 + ... + 170281.

It is an arithmetic number, because the mean of its divisors is an integer number (1527680).

Almost surely, 252229296 is an apocalyptic number.

52229296 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 52229296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61107200).

52229296 is an abundant number, since it is smaller than the sum of its proper divisors (69985104).

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

52229296 is a wasteful number, since it uses less digits than its factorization.

52229296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367 (or 347 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 52229296 is about 7226.9838798769. The cubic root of 52229296 is about 373.7989329787.

It can be divided in two parts, 52229 and 296, that added together give a palindrome (52525).

The spelling of 52229296 in words is "fifty-two million, two hundred twenty-nine thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 49 56 62 98 112 124 196 217 248 307 343 392 434 496 614 686 784 868 1228 1372 1519 1736 2149 2456 2744 3038 3472 4298 4912 5488 6076 8596 9517 10633 12152 15043 17192 19034 21266 24304 30086 34384 38068 42532 60172 66619 76136 85064 105301 120344 133238 152272 170128 210602 240688 266476 421204 466333 532952 842408 932666 1065904 1684816 1865332 3264331 3730664 6528662 7461328 13057324 26114648 52229296