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52214048 = 2523611163
BaseRepresentation
bin1100011100101…
…1100100100000
310122020202012122
43013023210200
5101331322143
65103043412
71202545355
oct307134440
9118222178
1052214048
1127523207
12155a0568
13aa820b3
146d1262c
1548b5c68
hex31cb920

52214048 has 48 divisors (see below), whose sum is σ = 109118016. Its totient is φ = 24541440.

The previous prime is 52214047. The next prime is 52214051. The reversal of 52214048 is 84041225.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (52214047) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 44315 + ... + 45477.

It is an arithmetic number, because the mean of its divisors is an integer number (2273292).

Almost surely, 252214048 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 52214048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54559008).

52214048 is an abundant number, since it is smaller than the sum of its proper divisors (56903968).

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

52214048 is a wasteful number, since it uses less digits than its factorization.

52214048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1257 (or 1249 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 52214048 is about 7225.9288676266. The cubic root of 52214048 is about 373.7625533902.

The spelling of 52214048 in words is "fifty-two million, two hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 8 16 23 32 46 61 92 122 184 244 368 488 736 976 1163 1403 1952 2326 2806 4652 5612 9304 11224 18608 22448 26749 37216 44896 53498 70943 106996 141886 213992 283772 427984 567544 855968 1135088 1631689 2270176 3263378 6526756 13053512 26107024 52214048