[go: up one dir, main page]

Search a number
-
+
5036465052 = 22321913035651
BaseRepresentation
bin1001011000011001…
…00101101110011100
3110222222222221012200
410230030211232130
540303313340202
62151432531500
7235544150403
oct45414455634
913888887180
105036465052
112154a53813
12b86850b90
13623588448
1435ac7463a
151e725ae1c
hex12c325b9c

5036465052 has 72 divisors (see below), whose sum is σ = 13413778560. Its totient is φ = 1588960800.

The previous prime is 5036465029. The next prime is 5036465053. The reversal of 5036465052 is 2505646305.

It is a happy number.

5036465052 is a `hidden beast` number, since 5 + 0 + 3 + 646 + 5 + 0 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 5036464998 and 5036465016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5036465053) 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, 888427 + ... + 894077.

It is an arithmetic number, because the mean of its divisors is an integer number (186302480).

Almost surely, 25036465052 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 5036465052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6706889280).

5036465052 is an abundant number, since it is smaller than the sum of its proper divisors (8377313508).

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

5036465052 is a wasteful number, since it uses less digits than its factorization.

5036465052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6983 (or 6978 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The square root of 5036465052 is about 70968.0565606809. The cubic root of 5036465052 is about 1714.1228392995.

The spelling of 5036465052 in words is "five billion, thirty-six million, four hundred sixty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 684 1303 2606 3909 5212 5651 7818 11302 11727 15636 16953 22604 23454 24757 33906 46908 49514 50859 67812 74271 99028 101718 107369 148542 203436 214738 222813 297084 322107 429476 445626 644214 891252 966321 1288428 1932642 3865284 7363253 14726506 22089759 29453012 44179518 66269277 88359036 132538554 139901807 265077108 279803614 419705421 559607228 839410842 1259116263 1678821684 2518232526 5036465052