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47118040 = 23529151269
BaseRepresentation
bin1011001110111…
…1011011011000
310021122211210121
42303233123120
544030234130
64401523024
71111332244
oct263573330
9107584717
1047118040
1124662532
1213943474
1399b96c8
146387424
15420ad7a
hex2cef6d8

47118040 has 64 divisors (see below), whose sum is σ = 110808000. Its totient is φ = 18009600.

The previous prime is 47118037. The next prime is 47118059. The reversal of 47118040 is 4081174.

It is a zygodrome in base 7.

It is a junction number, because it is equal to n+sod(n) for n = 47117996 and 47118014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 175026 + ... + 175294.

It is an arithmetic number, because the mean of its divisors is an integer number (1731375).

Almost surely, 247118040 is an apocalyptic number.

47118040 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 47118040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55404000).

47118040 is an abundant number, since it is smaller than the sum of its proper divisors (63689960).

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

47118040 is a wasteful number, since it uses less digits than its factorization.

47118040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 47118040 is about 6864.2581536536. The cubic root of 47118040 is about 361.1844730547.

The spelling of 47118040 in words is "forty-seven million, one hundred eighteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 151 232 269 290 302 538 580 604 755 1076 1160 1208 1345 1510 2152 2690 3020 4379 5380 6040 7801 8758 10760 15602 17516 21895 31204 35032 39005 40619 43790 62408 78010 81238 87580 156020 162476 175160 203095 312040 324952 406190 812380 1177951 1624760 2355902 4711804 5889755 9423608 11779510 23559020 47118040