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4480349760 = 26345172853
BaseRepresentation
bin1000010110000110…
…01011011001000000
3102120020120100110000
410023003023121000
533133432143020
62020325240000
7216012226125
oct41303133100
912506510400
104480349760
11199a04a0a7
12a50563000
135652b6643
1430707274c
151b350b090
hex10b0cb640

4480349760 has 140 divisors (see below), whose sum is σ = 15937484508. Its totient is φ = 1194753024.

The previous prime is 4480349759. The next prime is 4480349761. The reversal of 4480349760 is 679430844.

It is an interprime number because it is at equal distance from previous prime (4480349759) and next prime (4480349761).

It can be written as a sum of positive squares in 2 ways, for example, as 752514624 + 3727835136 = 27432^2 + 61056^2 .

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

It is not an unprimeable number, because it can be changed into a prime (4480349761) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 60507 + ... + 112346.

Almost surely, 24480349760 is an apocalyptic number.

4480349760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4480349760 is an abundant number, since it is smaller than the sum of its proper divisors (11457134748).

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

4480349760 is a wasteful number, since it uses less digits than its factorization.

4480349760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172882 (or 172863 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 4480349760 is about 66935.4148414724. The cubic root of 4480349760 is about 1648.5570194245.

The spelling of 4480349760 in words is "four billion, four hundred eighty million, three hundred forty-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 135 144 160 162 180 192 216 240 270 288 320 324 360 405 432 480 540 576 648 720 810 864 960 1080 1296 1440 1620 1728 2160 2592 2880 3240 4320 5184 6480 8640 12960 25920 172853 345706 518559 691412 864265 1037118 1382824 1555677 1728530 2074236 2592795 2765648 3111354 3457060 4148472 4667031 5185590 5531296 6222708 6914120 7778385 8296944 9334062 10371180 11062592 12445416 13828240 14001093 15556770 16593888 18668124 20742360 23335155 24890832 27656480 28002186 31113540 33187776 37336248 41484720 46670310 49781664 55312960 56004372 62227080 70005465 74672496 82969440 93340620 99563328 112008744 124454160 140010930 149344992 165938880 186681240 224017488 248908320 280021860 298689984 373362480 448034976 497816640 560043720 746724960 896069952 1120087440 1493449920 2240174880 4480349760