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47943040 = 275233257
BaseRepresentation
bin1011011011100…
…0110110000000
310100012202111011
42312320312000
544233134130
64431330304
71121336425
oct266706600
9110182434
1047943040
1125076352
1214080994
139c18082
14651dd4c
15432052a
hex2db8d80

47943040 has 64 divisors (see below), whose sum is σ = 119633760. Its totient is φ = 18337792.

The previous prime is 47943037. The next prime is 47943067. The reversal of 47943040 is 4034974.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 47942993 and 47943011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13092 + ... + 16348.

Almost surely, 247943040 is an apocalyptic number.

47943040 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 47943040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59816880).

47943040 is an abundant number, since it is smaller than the sum of its proper divisors (71690720).

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

47943040 is a wasteful number, since it uses less digits than its factorization.

47943040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 47943040 is about 6924.0912761170. The cubic root of 47943040 is about 363.2803072369.

The spelling of 47943040 in words is "forty-seven million, nine hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 64 80 92 115 128 160 184 230 320 368 460 640 736 920 1472 1840 2944 3257 3680 6514 7360 13028 14720 16285 26056 32570 52112 65140 74911 104224 130280 149822 208448 260560 299644 374555 416896 521120 599288 749110 1042240 1198576 1498220 2084480 2397152 2996440 4794304 5992880 9588608 11985760 23971520 47943040