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52226856 = 23341117431
BaseRepresentation
bin1100011100111…
…0101100101000
310122021101210000
43013032230220
5101332224411
65103223000
71202630613
oct307165450
9118241700
1052226856
11275318a0
12155a7a60
13aa87b86
146d1717a
1548b9956
hex31ceb28

52226856 has 160 divisors (see below), whose sum is σ = 169361280. Its totient is φ = 14860800.

The previous prime is 52226843. The next prime is 52226879. The reversal of 52226856 is 65862225.

52226856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 52226856.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 120961 + ... + 121391.

It is an arithmetic number, because the mean of its divisors is an integer number (1058508).

Almost surely, 252226856 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 52226856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84680640).

52226856 is an abundant number, since it is smaller than the sum of its proper divisors (117134424).

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

52226856 is a wasteful number, since it uses less digits than its factorization.

52226856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477 (or 464 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 52226856 is about 7226.8150661270. The cubic root of 52226856 is about 373.7931119569.

The spelling of 52226856 in words is "fifty-two million, two hundred twenty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 81 88 99 102 108 132 136 153 162 187 198 204 216 264 297 306 324 374 396 408 431 459 561 594 612 648 748 792 862 891 918 1122 1188 1224 1293 1377 1496 1683 1724 1782 1836 2244 2376 2586 2754 3366 3448 3564 3672 3879 4488 4741 5049 5172 5508 6732 7128 7327 7758 9482 10098 10344 11016 11637 13464 14223 14654 15147 15516 18964 20196 21981 23274 28446 29308 30294 31032 34911 37928 40392 42669 43962 46548 56892 58616 60588 65943 69822 80597 85338 87924 93096 113784 121176 128007 131886 139644 161194 170676 175848 197829 241791 256014 263772 279288 322388 341352 384021 395658 483582 512028 527544 593487 644776 725373 768042 791316 967164 1024056 1186974 1450746 1536084 1582632 1934328 2176119 2373948 2901492 3072168 4352238 4747896 5802984 6528357 8704476 13056714 17408952 26113428 52226856