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47131000 = 235376733
BaseRepresentation
bin1011001111001…
…0100101111000
310021200111120121
42303302211320
544031143000
64402103024
71111415110
oct263624570
9107614517
1047131000
1124671244
121394aa74
1399c2587
14638c040
15420eb1a
hex2cf2978

47131000 has 64 divisors (see below), whose sum is σ = 126060480. Its totient is φ = 16156800.

The previous prime is 47130983. The next prime is 47131009. The reversal of 47131000 is 13174.

It is a super-2 number, since 2×471310002 = 4442662322000000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47131009) 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, 3634 + ... + 10366.

It is an arithmetic number, because the mean of its divisors is an integer number (1969695).

Almost surely, 247131000 is an apocalyptic number.

47131000 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 47131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63030240).

47131000 is an abundant number, since it is smaller than the sum of its proper divisors (78929480).

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

47131000 is a wasteful number, since it uses less digits than its factorization.

47131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6761 (or 6747 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 47131000 is about 6865.2021091880. The cubic root of 47131000 is about 361.2175850833.

Adding to 47131000 its reverse (13174), we get a palindrome (47144174).

The spelling of 47131000 in words is "forty-seven million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 6733 7000 13466 26932 33665 47131 53864 67330 94262 134660 168325 188524 235655 269320 336650 377048 471310 673300 841625 942620 1178275 1346600 1683250 1885240 2356550 3366500 4713100 5891375 6733000 9426200 11782750 23565500 47131000