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52333248 = 2631171349
BaseRepresentation
bin1100011110100…
…0101011000000
310122110210201110
43013220223000
5101344130443
65105403320
71203553032
oct307505300
9118423643
1052333248
11275a4820
1215639540
13aac4426
146d43c52
1548db233
hex31e8ac0

52333248 has 112 divisors (see below), whose sum is σ = 153619200. Its totient is φ = 15590400.

The previous prime is 52333223. The next prime is 52333283. The reversal of 52333248 is 84233325.

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, 149778 + ... + 150126.

It is an arithmetic number, because the mean of its divisors is an integer number (1371600).

Almost surely, 252333248 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 52333248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76809600).

52333248 is an abundant number, since it is smaller than the sum of its proper divisors (101285952).

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

52333248 is a wasteful number, since it uses less digits than its factorization.

52333248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its digits is 17280, while the sum is 30.

The square root of 52333248 is about 7234.1722401392. The cubic root of 52333248 is about 374.0467593838.

The spelling of 52333248 in words is "fifty-two million, three hundred thirty-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 71 88 96 132 142 176 192 213 264 284 349 352 426 528 568 698 704 781 852 1047 1056 1136 1396 1562 1704 2094 2112 2272 2343 2792 3124 3408 3839 4188 4544 4686 5584 6248 6816 7678 8376 9372 11168 11517 12496 13632 15356 16752 18744 22336 23034 24779 24992 30712 33504 37488 46068 49558 49984 61424 67008 74337 74976 92136 99116 122848 148674 149952 184272 198232 245696 272569 297348 368544 396464 545138 594696 737088 792928 817707 1090276 1189392 1585856 1635414 2180552 2378784 3270828 4361104 4757568 6541656 8722208 13083312 17444416 26166624 52333248