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52084224 = 293289127
BaseRepresentation
bin1100011010101…
…1111000000000
310122000011010100
43012223320000
5101313143344
65100202400
71201465023
oct306537000
9118004110
1052084224
1127444715
1215539400
13aa37c8a
146cbb1ba
15488c569
hex31abe00

52084224 has 120 divisors (see below), whose sum is σ = 153204480. Its totient is φ = 17031168.

The previous prime is 52084211. The next prime is 52084231. The reversal of 52084224 is 42248025.

It is a happy number.

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 410049 + ... + 410175.

It is an arithmetic number, because the mean of its divisors is an integer number (1276704).

Almost surely, 252084224 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 52084224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602240).

52084224 is an abundant number, since it is smaller than the sum of its proper divisors (101120256).

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

52084224 is a wasteful number, since it uses less digits than its factorization.

52084224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 52084224 is about 7216.9400718033. The cubic root of 52084224 is about 373.4525243011.

The spelling of 52084224 in words is "fifty-two million, eighty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 89 96 127 128 144 178 192 254 256 267 288 356 381 384 508 512 534 576 712 762 768 801 1016 1068 1143 1152 1424 1524 1536 1602 2032 2136 2286 2304 2848 3048 3204 4064 4272 4572 4608 5696 6096 6408 8128 8544 9144 11303 11392 12192 12816 16256 17088 18288 22606 22784 24384 25632 32512 33909 34176 36576 45212 45568 48768 51264 65024 67818 68352 73152 90424 97536 101727 102528 135636 136704 146304 180848 195072 203454 205056 271272 292608 361696 406908 410112 542544 585216 723392 813816 1085088 1446784 1627632 2170176 2893568 3255264 4340352 5787136 6510528 8680704 13021056 17361408 26042112 52084224