Search a number
-
+
49563252 = 223623739
BaseRepresentation
bin1011110100010…
…0011001110100
310110021002000000
42331010121310
5100142011002
64530151300
71141165164
oct275043164
9113232000
1049563252
1125a82672
1214722530
13a36468b
1468225a4
15454061c
hex2f44674

49563252 has 84 divisors (see below), whose sum is σ = 135881760. Its totient is φ = 15781392.

The previous prime is 49563223. The next prime is 49563253. The reversal of 49563252 is 25236594.

49563252 is a `hidden beast` number, since 49 + 563 + 2 + 52 = 666.

49563252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (49563253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 66699 + ... + 67437.

It is an arithmetic number, because the mean of its divisors is an integer number (1617640).

Almost surely, 249563252 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 49563252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67940880).

49563252 is an abundant number, since it is smaller than the sum of its proper divisors (86318508).

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

49563252 is a wasteful number, since it uses less digits than its factorization.

49563252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 784 (or 767 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The square root of 49563252 is about 7040.1173285678. The cubic root of 49563252 is about 367.3273491390.

The spelling of 49563252 in words is "forty-nine million, five hundred sixty-three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 81 92 108 138 162 207 243 276 324 414 486 621 729 739 828 972 1242 1458 1478 1863 2217 2484 2916 2956 3726 4434 5589 6651 7452 8868 11178 13302 16767 16997 19953 22356 26604 33534 33994 39906 50991 59859 67068 67988 79812 101982 119718 152973 179577 203964 239436 305946 359154 458919 538731 611892 718308 917838 1077462 1376757 1835676 2154924 2753514 4130271 5507028 8260542 12390813 16521084 24781626 49563252