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52245216 = 2533173557
BaseRepresentation
bin1100011101001…
…1001011100000
310122022022222000
43013103023200
5101333321331
65103444000
71203035262
oct307231340
9118268860
1052245216
1127544671
12155b6600
13aa9333a
146d1db32
1548c00e6
hex31d32e0

52245216 has 96 divisors (see below), whose sum is σ = 161390880. Its totient is φ = 16386048.

The previous prime is 52245203. The next prime is 52245217. The reversal of 52245216 is 61254225.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 52245216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52245217) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12910 + ... + 16466.

It is an arithmetic number, because the mean of its divisors is an integer number (1681155).

Almost surely, 252245216 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 52245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80695440).

52245216 is an abundant number, since it is smaller than the sum of its proper divisors (109145664).

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

52245216 is a wasteful number, since it uses less digits than its factorization.

52245216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3593 (or 3579 counting only the distinct ones).

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

The square root of 52245216 is about 7228.0852236260. The cubic root of 52245216 is about 373.8369083102.

Subtracting 52245216 from its reverse (61254225), we obtain a palindrome (9009009).

It can be divided in two parts, 5224 and 5216, that added together give a triangular number (10440 = T144).

The spelling of 52245216 in words is "fifty-two million, two hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3557 3672 4896 7114 7344 10671 14228 14688 21342 28456 32013 42684 56912 60469 64026 85368 96039 113824 120938 128052 170736 181407 192078 241876 256104 341472 362814 384156 483752 512208 544221 725628 768312 967504 1024416 1088442 1451256 1536624 1632663 1935008 2176884 2902512 3073248 3265326 4353768 5805024 6530652 8707536 13061304 17415072 26122608 52245216