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52221456 = 2433722467
BaseRepresentation
bin1100011100110…
…1011000010000
310122021010101000
43013031120100
5101332041311
65103142000
71202606100
oct307153020
9118233330
1052221456
1127528831
12155a4900
13aa85591
146d15200
1548b8056
hex31cd610

52221456 has 120 divisors (see below), whose sum is σ = 174438240. Its totient is φ = 14914368.

The previous prime is 52221409. The next prime is 52221461. The reversal of 52221456 is 65412225.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19935 + ... + 22401.

It is an arithmetic number, because the mean of its divisors is an integer number (1453652).

Almost surely, 252221456 is an apocalyptic number.

52221456 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 52221456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87219120).

52221456 is an abundant number, since it is smaller than the sum of its proper divisors (122216784).

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

52221456 is a wasteful number, since it uses less digits than its factorization.

52221456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2498 (or 2479 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The square root of 52221456 is about 7226.4414479050. The cubic root of 52221456 is about 373.7802287232.

The spelling of 52221456 in words is "fifty-two million, two hundred twenty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2467 2646 3024 3528 4934 5292 7056 7401 9868 10584 14802 17269 19736 21168 22203 29604 34538 39472 44406 51807 59208 66609 69076 88812 103614 118416 120883 133218 138152 155421 177624 207228 241766 266436 276304 310842 355248 362649 414456 466263 483532 532872 621684 725298 828912 932526 967064 1065744 1087947 1243368 1450596 1865052 1934128 2175894 2486736 2901192 3263841 3730104 4351788 5802384 6527682 7460208 8703576 13055364 17407152 26110728 52221456