Search a number
-
+
49091476 = 22723312459
BaseRepresentation
bin1011101101000…
…1001110010100
310102101002211211
42323101032110
5100031411401
64512111204
71134161560
oct273211624
9112332754
1049091476
1125790175
1214535504
13a22aa15
14673c6a0
15449a951
hex2ed1394

49091476 has 48 divisors (see below), whose sum is σ = 105799680. Its totient is φ = 19467360.

The previous prime is 49091467. The next prime is 49091479. The reversal of 49091476 is 67419094.

It is a happy number.

49091476 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (40) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49091479) 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 15 ways as a sum of consecutive naturals, for example, 18735 + ... + 21193.

It is an arithmetic number, because the mean of its divisors is an integer number (2204160).

Almost surely, 249091476 is an apocalyptic number.

49091476 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49091476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52899840).

49091476 is an abundant number, since it is smaller than the sum of its proper divisors (56708204).

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

49091476 is a wasteful number, since it uses less digits than its factorization.

49091476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2524 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 49091476 is about 7006.5309533320. The cubic root of 49091476 is about 366.1581428131.

The spelling of 49091476 in words is "forty-nine million, ninety-one thousand, four hundred seventy-six".

Divisors: 1 2 4 7 14 23 28 31 46 62 92 124 161 217 322 434 644 713 868 1426 2459 2852 4918 4991 9836 9982 17213 19964 34426 56557 68852 76229 113114 152458 226228 304916 395899 533603 791798 1067206 1583596 1753267 2134412 3506534 7013068 12272869 24545738 49091476