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47673480 = 2335232751
BaseRepresentation
bin1011010111011…
…1000010001000
310022201001201110
42311313002020
544201022410
64421450320
71116134511
oct265670210
9108631643
1047673480
1124a01878
1213b709a0
139b5247a
14648da08
1542ba720
hex2d77088

47673480 has 96 divisors (see below), whose sum is σ = 149708160. Its totient is φ = 12144000.

The previous prime is 47673467. The next prime is 47673487. The reversal of 47673480 is 8437674.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (47673487) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63105 + ... + 63855.

It is an arithmetic number, because the mean of its divisors is an integer number (1559460).

Almost surely, 247673480 is an apocalyptic number.

47673480 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 47673480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74854080).

47673480 is an abundant number, since it is smaller than the sum of its proper divisors (102034680).

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

47673480 is a wasteful number, since it uses less digits than its factorization.

47673480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 811 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 47673480 is about 6904.5984676880. The cubic root of 47673480 is about 362.5981787182.

The spelling of 47673480 in words is "forty-seven million, six hundred seventy-three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 529 552 690 751 920 1058 1380 1502 1587 2116 2253 2645 2760 3004 3174 3755 4232 4506 5290 6008 6348 7510 7935 9012 10580 11265 12696 15020 15870 17273 18024 21160 22530 30040 31740 34546 45060 51819 63480 69092 86365 90120 103638 138184 172730 207276 259095 345460 397279 414552 518190 690920 794558 1036380 1191837 1589116 1986395 2072760 2383674 3178232 3972790 4767348 5959185 7945580 9534696 11918370 15891160 23836740 47673480