Search a number
-
+
49104720 = 2432579743
BaseRepresentation
bin1011101101010…
…0011101010000
310102101210000100
42323110131100
5100032322340
64512252400
71134245310
oct273243520
9112353010
1049104720
112579a115
1214541100
13a233a62
146743440
15449e830
hex2ed4750

49104720 has 120 divisors (see below), whose sum is σ = 188487936. Its totient is φ = 11222784.

The previous prime is 49104703. The next prime is 49104751. The reversal of 49104720 is 2740194.

It is a happy number.

49104720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×491047202 = 4822547052556800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 169 + ... + 9911.

Almost surely, 249104720 is an apocalyptic number.

49104720 is a gapful number since it is divisible by the number (40) 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 49104720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94243968).

49104720 is an abundant number, since it is smaller than the sum of its proper divisors (139383216).

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

49104720 is a wasteful number, since it uses less digits than its factorization.

49104720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9769 (or 9760 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 49104720 is about 7007.4760078077. The cubic root of 49104720 is about 366.1910674863.

The spelling of 49104720 in words is "forty-nine million, one hundred four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 35 36 40 42 45 48 56 60 63 70 72 80 84 90 105 112 120 126 140 144 168 180 210 240 252 280 315 336 360 420 504 560 630 720 840 1008 1260 1680 2520 5040 9743 19486 29229 38972 48715 58458 68201 77944 87687 97430 116916 136402 146145 155888 175374 194860 204603 233832 272804 292290 341005 350748 389720 409206 438435 467664 545608 584580 613809 682010 701496 779440 818412 876870 1023015 1091216 1169160 1227618 1364020 1402992 1636824 1753740 2046030 2338320 2455236 2728040 3069045 3273648 3507480 4092060 4910472 5456080 6138090 7014960 8184120 9820944 12276180 16368240 24552360 49104720