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526414056 = 23372461971
BaseRepresentation
bin11111011000000…
…111000011101000
31100200112121022220
4133120013003220
52034230222211
6124122514040
716021305600
oct3730070350
91320477286
10526414056
11250168743
12128365920
13850a2b0c
144dcadc00
1531334806
hex1f6070e8

526414056 has 96 divisors (see below), whose sum is σ = 1535798880. Its totient is φ = 149923200.

The previous prime is 526414043. The next prime is 526414117. The reversal of 526414056 is 650414625.

It is a super-2 number, since 2×5264140562 = 554223516708742272, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 541651 + ... + 542621.

It is an arithmetic number, because the mean of its divisors is an integer number (15997905).

Almost surely, 2526414056 is an apocalyptic number.

526414056 is a gapful number since it is divisible by the number (56) 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 526414056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767899440).

526414056 is an abundant number, since it is smaller than the sum of its proper divisors (1009384824).

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

526414056 is a wasteful number, since it uses less digits than its factorization.

526414056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1455 (or 1444 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 526414056 is about 22943.7149563884. The cubic root of 526414056 is about 807.4379525917.

The spelling of 526414056 in words is "five hundred twenty-six million, four hundred fourteen thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 461 588 922 971 1176 1383 1844 1942 2766 2913 3227 3688 3884 5532 5826 6454 6797 7768 9681 11064 11652 12908 13594 19362 20391 22589 23304 25816 27188 38724 40782 45178 47579 54376 67767 77448 81564 90356 95158 135534 142737 163128 180712 190316 271068 285474 380632 447631 542136 570948 895262 1141896 1342893 1790524 2685786 3133417 3581048 5371572 6266834 9400251 10743144 12533668 18800502 21933919 25067336 37601004 43867838 65801757 75202008 87735676 131603514 175471352 263207028 526414056