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52052288 = 264183239
BaseRepresentation
bin1100011010010…
…0000101000000
310121221112022112
43012210011000
5101311133123
65055354452
71201302641
oct306440500
9117845275
1052052288
1127422722
1215522a28
13aa26592
146cad6c8
154882d78
hex31a4140

52052288 has 56 divisors (see below), whose sum is σ = 107533440. Its totient is φ = 24980480.

The previous prime is 52052279. The next prime is 52052291. The reversal of 52052288 is 88225025.

It is a happy number.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 217673 + ... + 217911.

It is an arithmetic number, because the mean of its divisors is an integer number (1920240).

Almost surely, 252052288 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 52052288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53766720).

52052288 is an abundant number, since it is smaller than the sum of its proper divisors (55481152).

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

52052288 is a wasteful number, since it uses less digits than its factorization.

52052288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The square root of 52052288 is about 7214.7271604684. The cubic root of 52052288 is about 373.3761798897.

The spelling of 52052288 in words is "fifty-two million, fifty-two thousand, two hundred eighty-eight".

Divisors: 1 2 4 8 16 32 41 64 82 83 164 166 239 328 332 478 656 664 956 1312 1328 1912 2624 2656 3403 3824 5312 6806 7648 9799 13612 15296 19598 19837 27224 39196 39674 54448 78392 79348 108896 156784 158696 217792 313568 317392 627136 634784 813317 1269568 1626634 3253268 6506536 13013072 26026144 52052288