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52590700 = 225241101127
BaseRepresentation
bin1100100010011…
…1100001101100
310122221212212201
43020213201230
5101430400300
65115111244
71206004441
oct310474154
9118855781
1052590700
1127760198
1215742524
13ab84676
146dad9c8
15493c66a
hex322786c

52590700 has 72 divisors (see below), whose sum is σ = 118992384. Its totient is φ = 20160000.

The previous prime is 52590649. The next prime is 52590701. The reversal of 52590700 is 709525.

It is not an unprimeable number, because it can be changed into a prime (52590701) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 414037 + ... + 414163.

It is an arithmetic number, because the mean of its divisors is an integer number (1652672).

Almost surely, 252590700 is an apocalyptic number.

52590700 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52590700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59496192).

52590700 is an abundant number, since it is smaller than the sum of its proper divisors (66401684).

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

52590700 is a wasteful number, since it uses less digits than its factorization.

52590700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 3150, while the sum is 28.

The square root of 52590700 is about 7251.9445668041. The cubic root of 52590700 is about 374.6591272797.

The spelling of 52590700 in words is "fifty-two million, five hundred ninety thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 101 127 164 202 205 254 404 410 505 508 635 820 1010 1025 1270 2020 2050 2525 2540 3175 4100 4141 5050 5207 6350 8282 10100 10414 12700 12827 16564 20705 20828 25654 26035 41410 51308 52070 64135 82820 103525 104140 128270 130175 207050 256540 260350 320675 414100 520700 525907 641350 1051814 1282700 2103628 2629535 5259070 10518140 13147675 26295350 52590700