Search a number
-
+
49012122240 = 273258509049
BaseRepresentation
bin101101101001010110…
…011010001010000000
311200111201221210002200
4231221112122022000
51300334100402430
634303231513200
73353365110444
oct555126321200
9150451853080
1049012122240
1119871079954
1295ba088800
1348111b8383
14252d45a824
15141ccaa460
hexb6959a280

49012122240 has 96 divisors (see below), whose sum is σ = 169245004500. Its totient is φ = 13069897728.

The previous prime is 49012122227. The next prime is 49012122329. The reversal of 49012122240 is 4222121094.

49012122240 is a `hidden beast` number, since 490 + 12 + 122 + 2 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46231880256 + 2780241984 = 215016^2 + 52728^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4248765 + ... + 4260284.

Almost surely, 249012122240 is an apocalyptic number.

49012122240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

49012122240 is an abundant number, since it is smaller than the sum of its proper divisors (120232882260).

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

49012122240 is a wasteful number, since it uses less digits than its factorization.

49012122240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8509074 (or 8509059 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 49012122240 in words is "forty-nine billion, twelve million, one hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 288 320 360 384 480 576 640 720 960 1152 1440 1920 2880 5760 8509049 17018098 25527147 34036196 42545245 51054294 68072392 76581441 85090490 102108588 127635735 136144784 153162882 170180980 204217176 255271470 272289568 306325764 340361960 382907205 408434352 510542940 544579136 612651528 680723920 765814410 816868704 1021085880 1089158272 1225303056 1361447840 1531628820 1633737408 2042171760 2450606112 2722895680 3063257640 3267474816 4084343520 4901212224 5445791360 6126515280 8168687040 9802424448 12253030560 16337374080 24506061120 49012122240