Search a number
-
+
49484136 = 23313199797
BaseRepresentation
bin1011110011000…
…1000101101000
310110010001110210
42330301011220
5100131443021
64524341120
71140415422
oct274610550
9113101423
1049484136
1125a29189
12146a47a0
13a337670
146801812
154526e76
hex2f31168

49484136 has 64 divisors (see below), whose sum is σ = 134064000. Its totient is φ = 15130368.

The previous prime is 49484129. The next prime is 49484137. The reversal of 49484136 is 63148494.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 49484094 and 49484103.

It is not an unprimeable number, because it can be changed into a prime (49484137) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61690 + ... + 62486.

It is an arithmetic number, because the mean of its divisors is an integer number (2094750).

Almost surely, 249484136 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 49484136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67032000).

49484136 is an abundant number, since it is smaller than the sum of its proper divisors (84579864).

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

49484136 is a wasteful number, since it uses less digits than its factorization.

49484136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1018 (or 1014 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 49484136 is about 7034.4961440035. The cubic root of 49484136 is about 367.1317946616.

The spelling of 49484136 in words is "forty-nine million, four hundred eighty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 199 312 398 597 796 797 1194 1592 1594 2388 2391 2587 3188 4776 4782 5174 6376 7761 9564 10348 10361 15522 19128 20696 20722 31044 31083 41444 62088 62166 82888 124332 158603 248664 317206 475809 634412 951618 1268824 1903236 2061839 3806472 4123678 6185517 8247356 12371034 16494712 24742068 49484136