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47850040 = 2357732341
BaseRepresentation
bin1011011010001…
…0001000111000
310100001000220201
42312202020320
544222200130
64425331544
71120501330
oct266421070
9110030821
1047850040
1125012497
1214036bb4
139bb4944
1464d80c0
154302bca
hex2da2238

47850040 has 64 divisors (see below), whose sum is σ = 124781760. Its totient is φ = 16174080.

The previous prime is 47850031. The next prime is 47850041. The reversal of 47850040 is 4005874.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 47849990 and 47850008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47850041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19270 + ... + 21610.

It is an arithmetic number, because the mean of its divisors is an integer number (1949715).

Almost surely, 247850040 is an apocalyptic number.

47850040 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 47850040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62390880).

47850040 is an abundant number, since it is smaller than the sum of its proper divisors (76931720).

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

47850040 is a wasteful number, since it uses less digits than its factorization.

47850040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2432 (or 2428 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 47850040 is about 6917.3723334804. The cubic root of 47850040 is about 363.0452579118.

The spelling of 47850040 in words is "forty-seven million, eight hundred fifty thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 1022 1460 2044 2341 2555 2920 4088 4682 5110 9364 10220 11705 16387 18728 20440 23410 32774 46820 65548 81935 93640 131096 163870 170893 327740 341786 655480 683572 854465 1196251 1367144 1708930 2392502 3417860 4785004 5981255 6835720 9570008 11962510 23925020 47850040