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52050336 = 25313179233
BaseRepresentation
bin1100011010001…
…1100110100000
310121221102122020
43012203212200
5101311102321
65055341440
71201264152
oct306434640
9117842566
1052050336
1127421208
1215521880
13aa25720
146cacad2
1548824c6
hex31a39a0

52050336 has 96 divisors (see below), whose sum is σ = 148599360. Its totient is φ = 15857664.

The previous prime is 52050283. The next prime is 52050343. The reversal of 52050336 is 63305025.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 15 ways as a sum of consecutive naturals, for example, 223276 + ... + 223508.

It is an arithmetic number, because the mean of its divisors is an integer number (1547910).

Almost surely, 252050336 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 52050336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74299680).

52050336 is an abundant number, since it is smaller than the sum of its proper divisors (96549024).

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

52050336 is a wasteful number, since it uses less digits than its factorization.

52050336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 52050336 is about 7214.5918803492. The cubic root of 52050336 is about 373.3715125354.

The spelling of 52050336 in words is "fifty-two million, fifty thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 179 208 233 312 358 416 466 537 624 699 716 932 1074 1248 1398 1432 1864 2148 2327 2796 2864 3029 3728 4296 4654 5592 5728 6058 6981 7456 8592 9087 9308 11184 12116 13962 17184 18174 18616 22368 24232 27924 36348 37232 41707 48464 55848 72696 74464 83414 96928 111696 125121 145392 166828 223392 250242 290784 333656 500484 542191 667312 1000968 1084382 1334624 1626573 2001936 2168764 3253146 4003872 4337528 6506292 8675056 13012584 17350112 26025168 52050336