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52233216 = 210372347
BaseRepresentation
bin1100011101000…
…0010000000000
310122021201111120
43013100100000
5101332430331
65103312240
71202655300
oct307202000
9118251446
1052233216
1127536652
12155ab680
13aa8aa39
146d19600
1548bb796
hex31d0400

52233216 has 132 divisors (see below), whose sum is σ = 162417168. Its totient is φ = 14880768.

The previous prime is 52233199. The next prime is 52233217. The reversal of 52233216 is 61233225.

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

It is not an unprimeable number, because it can be changed into a prime (52233217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150355 + ... + 150701.

Almost surely, 252233216 is an apocalyptic number.

52233216 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 52233216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81208584).

52233216 is an abundant number, since it is smaller than the sum of its proper divisors (110183952).

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

52233216 is a wasteful number, since it uses less digits than its factorization.

52233216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 359 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 52233216 is about 7227.2550805960. The cubic root of 52233216 is about 373.8082844045.

Subtracting 52233216 from its reverse (61233225), we obtain a palindrome (9000009).

The spelling of 52233216 in words is "fifty-two million, two hundred thirty-three thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 347 384 392 448 512 588 672 694 768 784 896 1024 1041 1176 1344 1388 1536 1568 1792 2082 2352 2429 2688 2776 3072 3136 3584 4164 4704 4858 5376 5552 6272 7168 7287 8328 9408 9716 10752 11104 12544 14574 16656 17003 18816 19432 21504 22208 25088 29148 33312 34006 37632 38864 44416 50176 51009 58296 66624 68012 75264 77728 88832 102018 116592 133248 136024 150528 155456 177664 204036 233184 266496 272048 310912 355328 408072 466368 532992 544096 621824 816144 932736 1065984 1088192 1243648 1632288 1865472 2176384 2487296 3264576 3730944 4352768 6529152 7461888 8705536 13058304 17411072 26116608 52233216