Search a number
-
+
49646428440 = 23357277721283
BaseRepresentation
bin101110001111001010…
…000110000100011000
311202010221111212121220
4232033022012010120
51303133441202230
634450211132040
73405166451610
oct561712060430
9152127455556
1049646428440
111a067129554
1297565a4020
1348b2735c9b
14258d7b3a40
151458802d10
hexb8f286118

49646428440 has 128 divisors (see below), whose sum is σ = 170285621760. Its totient is φ = 11343135744.

The previous prime is 49646428427. The next prime is 49646428511. The reversal of 49646428440 is 4482464694.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2322039 + ... + 2343321.

It is an arithmetic number, because the mean of its divisors is an integer number (1330356420).

Almost surely, 249646428440 is an apocalyptic number.

49646428440 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 49646428440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85142810880).

49646428440 is an abundant number, since it is smaller than the sum of its proper divisors (120639193320).

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

49646428440 is a wasteful number, since it uses less digits than its factorization.

49646428440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24081 (or 24077 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 51.

The spelling of 49646428440 in words is "forty-nine billion, six hundred forty-six million, four hundred twenty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2777 5554 8331 11108 13885 16662 19439 21283 22216 27770 33324 38878 41655 42566 55540 58317 63849 66648 77756 83310 85132 97195 106415 111080 116634 127698 148981 155512 166620 170264 194390 212830 233268 255396 291585 297962 319245 333240 388780 425660 446943 466536 510792 583170 595924 638490 744905 777560 851320 893886 1166340 1191848 1276980 1489810 1787772 2234715 2332680 2553960 2979620 3575544 4469430 5959240 8938860 17877720 59102891 118205782 177308673 236411564 295514455 354617346 413720237 472823128 591028910 709234692 827440474 886543365 1182057820 1241160711 1418469384 1654880948 1773086730 2068601185 2364115640 2482321422 3309761896 3546173460 4137202370 4964642844 6205803555 7092346920 8274404740 9929285688 12411607110 16548809480 24823214220 49646428440