Search a number
-
+
52063632 = 243231107109
BaseRepresentation
bin1100011010011…
…0110110010000
310121222002212200
43012212312100
5101312014012
65055523200
71201351005
oct306466620
9117862780
1052063632
11274301a5
1215529500
13aa2b7aa
146cb38ac
1548863dc
hex31a6d90

52063632 has 120 divisors (see below), whose sum is σ = 153204480. Its totient is φ = 16485120.

The previous prime is 52063631. The next prime is 52063633. The reversal of 52063632 is 23636025.

52063632 is a `hidden beast` number, since 5 + 20 + 6 + 3 + 632 = 666.

It is an interprime number because it is at equal distance from previous prime (52063631) and next prime (52063633).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 52063596 and 52063605.

It is not an unprimeable number, because it can be changed into a prime (52063631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477594 + ... + 477702.

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

Almost surely, 252063632 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 52063632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76602240).

52063632 is an abundant number, since it is smaller than the sum of its proper divisors (101140848).

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

52063632 is a wasteful number, since it uses less digits than its factorization.

52063632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 52063632 is about 7215.5132873552. The cubic root of 52063632 is about 373.4033017953.

Adding to 52063632 its reverse (23636025), we get a palindrome (75699657).

The spelling of 52063632 in words is "fifty-two million, sixty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 107 109 124 144 186 214 218 248 279 321 327 372 428 436 496 558 642 654 744 856 872 963 981 1116 1284 1308 1488 1712 1744 1926 1962 2232 2568 2616 3317 3379 3852 3924 4464 5136 5232 6634 6758 7704 7848 9951 10137 11663 13268 13516 15408 15696 19902 20274 23326 26536 27032 29853 30411 34989 39804 40548 46652 53072 54064 59706 60822 69978 79608 81096 93304 104967 119412 121644 139956 159216 162192 186608 209934 238824 243288 279912 361553 419868 477648 486576 559824 723106 839736 1084659 1446212 1679472 2169318 2892424 3253977 4338636 5784848 6507954 8677272 13015908 17354544 26031816 52063632