Search a number
-
+
49409640 = 23325722801
BaseRepresentation
bin1011110001111…
…0111001101000
310102222021021200
42330132321220
5100122102030
64523004200
71136655300
oct274367150
9112867250
1049409640
1125988215
1214669660
13a30c797
1467c2600
15450ed60
hex2f1ee68

49409640 has 144 divisors (see below), whose sum is σ = 186865380. Its totient is φ = 11289600.

The previous prime is 49409611. The next prime is 49409653. The reversal of 49409640 is 4690494.

49409640 is a `hidden beast` number, since 4 + 9 + 4 + 0 + 9 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 49196196 + 213444 = 7014^2 + 462^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 49409595 and 49409604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 16240 + ... + 19040.

Almost surely, 249409640 is an apocalyptic number.

49409640 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 49409640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93432690).

49409640 is an abundant number, since it is smaller than the sum of its proper divisors (137455740).

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

49409640 is a wasteful number, since it uses less digits than its factorization.

49409640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2832 (or 2818 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 49409640 is about 7029.1991008934. The cubic root of 49409640 is about 366.9474690136.

The spelling of 49409640 in words is "forty-nine million, four hundred nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2801 2940 3528 4410 5602 5880 8403 8820 11204 14005 16806 17640 19607 22408 25209 28010 33612 39214 42015 50418 56020 58821 67224 78428 84030 98035 100836 112040 117642 126045 137249 156856 168060 176463 196070 201672 235284 252090 274498 294105 336120 352926 392140 411747 470568 504180 548996 588210 686245 705852 784280 823494 882315 1008360 1097992 1176420 1235241 1372490 1411704 1646988 1764630 2058735 2352840 2470482 2744980 3293976 3529260 4117470 4940964 5489960 6176205 7058520 8234940 9881928 12352410 16469880 24704820 49409640