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47980080 = 2433597229
BaseRepresentation
bin1011011100000…
…1111000110000
310100021122022000
42313001320300
544240330310
64432214000
71121552421
oct267017060
9110248260
1047980080
11250a1165
121409a300
139c2bba5
14652d648
15432b4c0
hex2dc1e30

47980080 has 160 divisors (see below), whose sum is σ = 167697600. Its totient is φ = 12607488.

The previous prime is 47980043. The next prime is 47980087. The reversal of 47980080 is 8008974.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47980087) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209406 + ... + 209634.

It is an arithmetic number, because the mean of its divisors is an integer number (1048110).

Almost surely, 247980080 is an apocalyptic number.

47980080 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 47980080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83848800).

47980080 is an abundant number, since it is smaller than the sum of its proper divisors (119717520).

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

47980080 is a wasteful number, since it uses less digits than its factorization.

47980080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 47980080 is about 6926.7654789230. The cubic root of 47980080 is about 363.3738379406.

The spelling of 47980080 in words is "forty-seven million, nine hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 97 108 120 135 144 180 194 216 229 240 270 291 360 388 432 458 485 540 582 687 720 776 873 916 970 1080 1145 1164 1374 1455 1552 1746 1832 1940 2061 2160 2290 2328 2619 2748 2910 3435 3492 3664 3880 4122 4365 4580 4656 5238 5496 5820 6183 6870 6984 7760 8244 8730 9160 10305 10476 10992 11640 12366 13095 13740 13968 16488 17460 18320 20610 20952 22213 23280 24732 26190 27480 30915 32976 34920 41220 41904 44426 49464 52380 54960 61830 66639 69840 82440 88852 98928 104760 111065 123660 133278 164880 177704 199917 209520 222130 247320 266556 333195 355408 399834 444260 494640 533112 599751 666390 799668 888520 999585 1066224 1199502 1332780 1599336 1777040 1999170 2399004 2665560 2998755 3198672 3998340 4798008 5331120 5997510 7996680 9596016 11995020 15993360 23990040 47980080