Search a number
-
+
53622648 = 233483997
BaseRepresentation
bin1100110010001…
…1011101111000
310201220022110000
43030203131320
5102211411043
65153153000
71220533152
oct314433570
9121808400
1053622648
11282a5542
1215b5b760
13b1562a1
14719bad2
154a932d3
hex3323778

53622648 has 80 divisors (see below), whose sum is σ = 152155080. Its totient is φ = 17641152.

The previous prime is 53622643. The next prime is 53622671. The reversal of 53622648 is 84622635.

53622648 is a `hidden beast` number, since 5 + 3 + 6 + 2 + 2 + 648 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53622643) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 53286 + ... + 54282.

Almost surely, 253622648 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 53622648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76077540).

53622648 is an abundant number, since it is smaller than the sum of its proper divisors (98532432).

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

53622648 is a wasteful number, since it uses less digits than its factorization.

53622648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1098 (or 1085 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 53622648 is about 7322.7486642654. The cubic root of 53622648 is about 377.0938233182.

The spelling of 53622648 in words is "fifty-three million, six hundred twenty-two thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 83 108 162 166 216 249 324 332 498 648 664 747 996 997 1494 1992 1994 2241 2988 2991 3988 4482 5976 5982 6723 7976 8964 8973 11964 13446 17928 17946 23928 26892 26919 35892 53784 53838 71784 80757 82751 107676 161514 165502 215352 248253 323028 331004 496506 646056 662008 744759 993012 1489518 1986024 2234277 2979036 4468554 5958072 6702831 8937108 13405662 17874216 26811324 53622648