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47348040 = 23352291723
BaseRepresentation
bin1011010010011…
…1100101001000
310022002112022010
42310213211020
544110114130
64410455520
71113310635
oct264474510
9108075263
1047348040
11247aa313
1213a345a0
139a6a2bc
14640718c
1542540b0
hex2d27948

47348040 has 64 divisors (see below), whose sum is σ = 142747200. Its totient is φ = 12563712.

The previous prime is 47348033. The next prime is 47348047. The reversal of 47348040 is 4084374.

It is an interprime number because it is at equal distance from previous prime (47348033) and next prime (47348047).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 47347989 and 47348007.

It is not an unprimeable number, because it can be changed into a prime (47348047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26619 + ... + 28341.

It is an arithmetic number, because the mean of its divisors is an integer number (2230425).

Almost surely, 247348040 is an apocalyptic number.

47348040 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 47348040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71373600).

47348040 is an abundant number, since it is smaller than the sum of its proper divisors (95399160).

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

47348040 is a wasteful number, since it uses less digits than its factorization.

47348040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1966 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 47348040 is about 6880.9912076677. The cubic root of 47348040 is about 361.7712095816.

The spelling of 47348040 in words is "forty-seven million, three hundred forty-eight thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 229 458 687 916 1145 1374 1723 1832 2290 2748 3435 3446 4580 5169 5496 6870 6892 8615 9160 10338 13740 13784 17230 20676 25845 27480 34460 41352 51690 68920 103380 206760 394567 789134 1183701 1578268 1972835 2367402 3156536 3945670 4734804 5918505 7891340 9469608 11837010 15782680 23674020 47348040