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2442929940 = 22325111964937
BaseRepresentation
bin1001000110011100…
…0010011100010100
320022020210200212200
42101213002130110
520000342224230
61042224244500
7114352363503
oct22147023424
96266720780
102442929940
111043a74470
12582170730
132cc169c99
1419263683a
15e4706160
hex919c2714

2442929940 has 144 divisors (see below), whose sum is σ = 8509475520. Its totient is φ = 561047040.

The previous prime is 2442929933. The next prime is 2442929977. The reversal of 2442929940 is 499292442.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 47 ways as a sum of consecutive naturals, for example, 5152 + ... + 70088.

It is an arithmetic number, because the mean of its divisors is an integer number (59093580).

Almost surely, 22442929940 is an apocalyptic number.

2442929940 is a gapful number since it is divisible by the number (20) 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 2442929940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254737760).

2442929940 is an abundant number, since it is smaller than the sum of its proper divisors (6066545580).

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

2442929940 is a wasteful number, since it uses less digits than its factorization.

2442929940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64982 (or 64977 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2442929940 is about 49426.0046938856. The cubic root of 2442929940 is about 1346.8017459455.

The spelling of 2442929940 in words is "two billion, four hundred forty-two million, nine hundred twenty-nine thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 19 20 22 30 33 36 38 44 45 55 57 60 66 76 90 95 99 110 114 132 165 171 180 190 198 209 220 228 285 330 342 380 396 418 495 570 627 660 684 836 855 990 1045 1140 1254 1710 1881 1980 2090 2508 3135 3420 3762 4180 6270 7524 9405 12540 18810 37620 64937 129874 194811 259748 324685 389622 584433 649370 714307 779244 974055 1168866 1233803 1298740 1428614 1948110 2142921 2337732 2467606 2857228 2922165 3571535 3701409 3896220 4285842 4935212 5844330 6169015 6428763 7143070 7402818 8571684 10714605 11104227 11688660 12338030 12857526 13571833 14286140 14805636 18507045 21429210 22208454 24676060 25715052 27143666 32143815 37014090 40715499 42858420 44416908 54287332 55521135 64287630 67859165 74028180 81430998 111042270 122146497 128575260 135718330 162861996 203577495 222084540 244292994 271436660 407154990 488585988 610732485 814309980 1221464970 2442929940