Search a number
-
+
49724004 = 223113710181
BaseRepresentation
bin1011110110101…
…1101001100100
310110120020111210
42331223221210
5100212132004
64533431420
71142434641
oct275535144
9113506453
1049724004
1126082420
121479b570
13a3bc8b5
146864dc8
154573089
hex2f6ba64

49724004 has 48 divisors (see below), whose sum is σ = 130003776. Its totient is φ = 14659200.

The previous prime is 49723981. The next prime is 49724011. The reversal of 49724004 is 40042794.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 207 + ... + 9974.

It is an arithmetic number, because the mean of its divisors is an integer number (2708412).

Almost surely, 249724004 is an apocalyptic number.

49724004 is a gapful number since it is divisible by the number (44) 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 49724004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65001888).

49724004 is an abundant number, since it is smaller than the sum of its proper divisors (80279772).

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

49724004 is a wasteful number, since it uses less digits than its factorization.

49724004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10236 (or 10234 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 49724004 is about 7051.5249414577. The cubic root of 49724004 is about 367.7240468239.

Adding to 49724004 its reverse (40042794), we get a palindrome (89766798).

The spelling of 49724004 in words is "forty-nine million, seven hundred twenty-four thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 222 407 444 814 1221 1628 2442 4884 10181 20362 30543 40724 61086 111991 122172 223982 335973 376697 447964 671946 753394 1130091 1343892 1506788 2260182 4143667 4520364 8287334 12431001 16574668 24862002 49724004