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52352256 = 283116197
BaseRepresentation
bin1100011110110…
…1010100000000
310122111202210110
43013231110000
5101400233011
65110031320
71203662325
oct307552400
9118452713
1052352256
1127608030
1215648540
13aaccc88
146d4ab4c
1548e1ba6
hex31ed500

52352256 has 72 divisors (see below), whose sum is σ = 152024544. Its totient is φ = 15861760.

The previous prime is 52352249. The next prime is 52352263. The reversal of 52352256 is 65225325.

It is an interprime number because it is at equal distance from previous prime (52352249) and next prime (52352263).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a zygodrome in base 13.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5350 + ... + 11546.

It is an arithmetic number, because the mean of its divisors is an integer number (2111452).

Almost surely, 252352256 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 52352256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76012272).

52352256 is an abundant number, since it is smaller than the sum of its proper divisors (99672288).

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

52352256 is a wasteful number, since it uses less digits than its factorization.

52352256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6227 (or 6213 counting only the distinct ones).

The product of its digits is 18000, while the sum is 30.

The square root of 52352256 is about 7235.4858855505. The cubic root of 52352256 is about 374.0920398410.

The spelling of 52352256 in words is "fifty-two million, three hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 384 528 704 768 1056 1408 2112 2816 4224 6197 8448 12394 18591 24788 37182 49576 68167 74364 99152 136334 148728 198304 204501 272668 297456 396608 409002 545336 594912 793216 818004 1090672 1189824 1586432 1636008 2181344 2379648 3272016 4362688 4759296 6544032 8725376 13088064 17450752 26176128 52352256