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52586240 = 28575869
BaseRepresentation
bin1100100010011…
…0011100000000
310122221122202112
43020212130000
5101430224430
65115034452
71205655440
oct310463400
9118848675
1052586240
1127757903
121573ba28
13ab82625
146dac120
15493b195
hex3226700

52586240 has 72 divisors (see below), whose sum is σ = 143979360. Its totient is φ = 18026496.

The previous prime is 52586239. The next prime is 52586249. The reversal of 52586240 is 4268525.

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

It is a junction number, because it is equal to n+sod(n) for n = 52586197 and 52586206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52586249) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6026 + ... + 11894.

Almost surely, 252586240 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 52586240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71989680).

52586240 is an abundant number, since it is smaller than the sum of its proper divisors (91393120).

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

52586240 is an equidigital number, since it uses as much as digits as its factorization.

52586240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5883 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 52586240 is about 7251.6370565549. The cubic root of 52586240 is about 374.6485358827.

The spelling of 52586240 in words is "fifty-two million, five hundred eighty-six thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 5869 8960 11738 23476 29345 41083 46952 58690 82166 93904 117380 164332 187808 205415 234760 328664 375616 410830 469520 657328 751232 821660 939040 1314656 1502464 1643320 1878080 2629312 3286640 3756160 5258624 6573280 7512320 10517248 13146560 26293120 52586240