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52244192 = 25721113233
BaseRepresentation
bin1100011101001…
…0111011100000
310122022021120002
43013102323200
5101333303232
65103435132
71203032300
oct307227340
9118267502
1052244192
1127543920
12155b5aa8
13aa92a30
146d1d600
1548beb62
hex31d2ee0

52244192 has 144 divisors (see below), whose sum is σ = 141169392. Its totient is φ = 18708480.

The previous prime is 52244177. The next prime is 52244239. The reversal of 52244192 is 29144225.

52244192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 224108 + ... + 224340.

It is an arithmetic number, because the mean of its divisors is an integer number (980343).

Almost surely, 252244192 is an apocalyptic number.

52244192 is a gapful number since it is divisible by the number (52) 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 52244192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70584696).

52244192 is an abundant number, since it is smaller than the sum of its proper divisors (88925200).

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

52244192 is a wasteful number, since it uses less digits than its factorization.

52244192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 266 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 52244192 is about 7228.0143884749. The cubic root of 52244192 is about 373.8344659079.

The spelling of 52244192 in words is "fifty-two million, two hundred forty-four thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 49 52 56 77 88 91 98 104 112 143 154 176 182 196 208 224 233 286 308 352 364 392 416 466 539 572 616 637 728 784 932 1001 1078 1144 1232 1274 1456 1568 1631 1864 2002 2156 2288 2464 2548 2563 2912 3029 3262 3728 4004 4312 4576 5096 5126 6058 6524 7007 7456 8008 8624 10192 10252 11417 12116 13048 14014 16016 17248 17941 20384 20504 21203 22834 24232 26096 28028 32032 33319 35882 41008 42406 45668 48464 52192 56056 66638 71764 82016 84812 91336 96928 112112 125587 133276 143528 148421 169624 182672 224224 233233 251174 266552 287056 296842 339248 365344 466466 502348 533104 574112 593684 678496 932932 1004696 1066208 1187368 1632631 1865864 2009392 2374736 3265262 3731728 4018784 4749472 6530524 7463456 13061048 26122096 52244192