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52200064 = 2771723149
BaseRepresentation
bin1100011100100…
…0001010000000
310122020001000201
43013020022000
5101330400224
65102454544
71202456530
oct307101200
9118201021
1052200064
1127513754
1215594454
13aa78917
146d0b4c0
1548b1a44
hex31c8280

52200064 has 128 divisors (see below), whose sum is σ = 132192000. Its totient is φ = 20004864.

The previous prime is 52200061. The next prime is 52200103. The reversal of 52200064 is 46000225.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (52200061) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 350262 + ... + 350410.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 252200064 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 52200064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096000).

52200064 is an abundant number, since it is smaller than the sum of its proper divisors (79991936).

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

52200064 is a wasteful number, since it uses less digits than its factorization.

52200064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 52200064 is about 7224.9611763663. The cubic root of 52200064 is about 373.7291833016.

Adding to 52200064 its reverse (46000225), we get a palindrome (98200289).

The spelling of 52200064 in words is "fifty-two million, two hundred thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 17 23 28 32 34 46 56 64 68 92 112 119 128 136 149 161 184 224 238 272 298 322 368 391 448 476 544 596 644 736 782 896 952 1043 1088 1192 1288 1472 1564 1904 2086 2176 2384 2533 2576 2737 2944 3128 3427 3808 4172 4768 5066 5152 5474 6256 6854 7616 8344 9536 10132 10304 10948 12512 13708 15232 16688 17731 19072 20264 20608 21896 23989 25024 27416 33376 35462 40528 43792 47978 50048 54832 58259 66752 70924 81056 87584 95956 109664 116518 133504 141848 162112 175168 191912 219328 233036 283696 324224 350336 383824 407813 438656 466072 567392 767648 815626 932144 1134784 1535296 1631252 1864288 2269568 3070592 3262504 3728576 6525008 7457152 13050016 26100032 52200064