Search a number
-
+
52940628 = 22341312569
BaseRepresentation
bin1100100111110…
…0111101010100
310200121122220000
43021330331110
5102023100003
65130411300
71211662566
oct311747524
9120548800
1052940628
112797a094
1215890b30
13ac77a20
147061336
1549ab1a3
hex327cf54

52940628 has 60 divisors (see below), whose sum is σ = 149055060. Its totient is φ = 16288128.

The previous prime is 52940621. The next prime is 52940639. The reversal of 52940628 is 82604925.

It is a happy number.

52940628 is a `hidden beast` number, since 5 + 29 + 4 + 0 + 628 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 18507204 = 5868^2 + 4302^2 .

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 = 52940592 and 52940601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52940621) 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, 2073 + ... + 10496.

It is an arithmetic number, because the mean of its divisors is an integer number (2484251).

Almost surely, 252940628 is an apocalyptic number.

It is an amenable number.

52940628 is an abundant number, since it is smaller than the sum of its proper divisors (96114432).

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

52940628 is a wasteful number, since it uses less digits than its factorization.

52940628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12598 (or 12587 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 52940628 is about 7276.0310609562. The cubic root of 52940628 is about 375.4882599966.

The spelling of 52940628 in words is "fifty-two million, nine hundred forty thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 12569 25138 37707 50276 75414 113121 150828 163397 226242 326794 339363 452484 490191 653588 678726 980382 1018089 1357452 1470573 1960764 2036178 2941146 4072356 4411719 5882292 8823438 13235157 17646876 26470314 52940628