Search a number
-
+
49674000 = 2435317487
BaseRepresentation
bin1011110101111…
…1011100010000
310110110200220210
42331133130100
5100204032000
64532404120
71142136105
oct275373420
9113420823
1049674000
11260488a2
1214776640
13a3a2bcc
146850aac
154563350
hex2f5f710

49674000 has 160 divisors (see below), whose sum is σ = 169917696. Its totient is φ = 12441600.

The previous prime is 49673989. The next prime is 49674007. The reversal of 49674000 is 47694.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (49674007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101757 + ... + 102243.

Almost surely, 249674000 is an apocalyptic number.

49674000 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 49674000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84958848).

49674000 is an abundant number, since it is smaller than the sum of its proper divisors (120243696).

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

49674000 is a wasteful number, since it uses less digits than its factorization.

49674000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The square root of 49674000 is about 7047.9784335652. The cubic root of 49674000 is about 367.6007405805.

The spelling of 49674000 in words is "forty-nine million, six hundred seventy-four thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 102 120 125 136 150 170 200 204 240 250 255 272 300 340 375 400 408 425 487 500 510 600 680 750 816 850 974 1000 1020 1200 1275 1360 1461 1500 1700 1948 2000 2040 2125 2435 2550 2922 3000 3400 3896 4080 4250 4870 5100 5844 6000 6375 6800 7305 7792 8279 8500 9740 10200 11688 12175 12750 14610 16558 17000 19480 20400 23376 24350 24837 25500 29220 33116 34000 36525 38960 41395 48700 49674 51000 58440 60875 66232 73050 82790 97400 99348 102000 116880 121750 124185 132464 146100 165580 182625 194800 198696 206975 243500 248370 292200 331160 365250 397392 413950 487000 496740 584400 620925 662320 730500 827900 974000 993480 1034875 1241850 1461000 1655800 1986960 2069750 2483700 2922000 3104625 3311600 4139500 4967400 6209250 8279000 9934800 12418500 16558000 24837000 49674000