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47997000 = 2332535333
BaseRepresentation
bin1011011100011…
…0000001001000
310100022111111200
42313012001020
544241401000
64432424200
71121652642
oct267060110
9110274450
1047997000
1125102947
12140a8060
139c367bc
146535892
154331500
hex2dc6048

47997000 has 96 divisors (see below), whose sum is σ = 162260280. Its totient is φ = 12796800.

The previous prime is 47996981. The next prime is 47997007. The reversal of 47997000 is 79974.

It can be written as a sum of positive squares in 4 ways, for example, as 31203396 + 16793604 = 5586^2 + 4098^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (47997007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6334 + ... + 11666.

Almost surely, 247997000 is an apocalyptic number.

47997000 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 47997000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81130140).

47997000 is an abundant number, since it is smaller than the sum of its proper divisors (114263280).

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

47997000 is a wasteful number, since it uses less digits than its factorization.

47997000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5360 (or 5343 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 47997000 is about 6927.9867205415. The cubic root of 47997000 is about 363.4165470729.

It can be divided in two parts, 479 and 97000, that added together give a palindrome (97479).

The spelling of 47997000 in words is "forty-seven million, nine hundred ninety-seven thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 125 150 180 200 225 250 300 360 375 450 500 600 750 900 1000 1125 1500 1800 2250 3000 4500 5333 9000 10666 15999 21332 26665 31998 42664 47997 53330 63996 79995 95994 106660 127992 133325 159990 191988 213320 239985 266650 319980 383976 399975 479970 533300 639960 666625 799950 959940 1066600 1199925 1333250 1599900 1919880 1999875 2399850 2666500 3199800 3999750 4799700 5333000 5999625 7999500 9599400 11999250 15999000 23998500 47997000