Search a number
-
+
52014336 = 2831147131
BaseRepresentation
bin1100011001101…
…0110100000000
310121212121020220
43012122310000
5101303424321
65054503040
71201054203
oct306326400
9117777226
1052014336
11273a7160
1215504a80
13aa1221a
146c9d93a
1548769c6
hex319ad00

52014336 has 144 divisors (see below), whose sum is σ = 155409408. Its totient is φ = 15308800.

The previous prime is 52014329. The next prime is 52014337. The reversal of 52014336 is 63341025.

It is a happy number.

It is a super-2 number, since 2×520143362 = 5410982299041792, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52014337) 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, 396991 + ... + 397121.

It is an arithmetic number, because the mean of its divisors is an integer number (1079232).

Almost surely, 252014336 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 52014336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77704704).

52014336 is an abundant number, since it is smaller than the sum of its proper divisors (103395072).

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

52014336 is a wasteful number, since it uses less digits than its factorization.

52014336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 194 counting only the distinct ones).

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

The square root of 52014336 is about 7212.0965051779. The cubic root of 52014336 is about 373.2854133505.

The spelling of 52014336 in words is "fifty-two million, fourteen thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 47 48 64 66 88 94 96 128 131 132 141 176 188 192 256 262 264 282 352 376 384 393 517 524 528 564 704 752 768 786 1034 1048 1056 1128 1408 1441 1504 1551 1572 2068 2096 2112 2256 2816 2882 3008 3102 3144 4136 4192 4224 4323 4512 5764 6016 6157 6204 6288 8272 8384 8448 8646 9024 11528 12032 12314 12408 12576 16544 16768 17292 18048 18471 23056 24628 24816 25152 33088 33536 34584 36096 36942 46112 49256 49632 50304 66176 67727 69168 73884 92224 98512 99264 100608 132352 135454 138336 147768 184448 197024 198528 203181 270908 276672 295536 368896 394048 397056 406362 541816 553344 591072 788096 812724 1083632 1106688 1182144 1576192 1625448 2167264 2364288 3250896 4334528 4728576 6501792 8669056 13003584 17338112 26007168 52014336