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47233000 = 2353149317
BaseRepresentation
bin1011010000101…
…1011111101000
310021212200111101
42310023133220
544042424000
64404211144
71112321353
oct264133750
9107780441
1047233000
1124730941
1213999ab4
139a29b29
1463b729a
15422ee6a
hex2d0b7e8

47233000 has 64 divisors (see below), whose sum is σ = 111618000. Its totient is φ = 18707200.

The previous prime is 47232973. The next prime is 47233003. The reversal of 47233000 is 33274.

It can be written as a sum of positive squares in 8 ways, for example, as 4435236 + 42797764 = 2106^2 + 6542^2 .

It is not an unprimeable number, because it can be changed into a prime (47233003) 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, 148842 + ... + 149158.

Almost surely, 247233000 is an apocalyptic number.

47233000 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 47233000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55809000).

47233000 is an abundant number, since it is smaller than the sum of its proper divisors (64385000).

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

47233000 is a wasteful number, since it uses less digits than its factorization.

47233000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 19.

The square root of 47233000 is about 6872.6268631434. The cubic root of 47233000 is about 361.4779773689.

Adding to 47233000 its reverse (33274), we get a palindrome (47266274).

The spelling of 47233000 in words is "forty-seven million, two hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 149 200 250 298 317 500 596 634 745 1000 1192 1268 1490 1585 2536 2980 3170 3725 5960 6340 7450 7925 12680 14900 15850 18625 29800 31700 37250 39625 47233 63400 74500 79250 94466 149000 158500 188932 236165 317000 377864 472330 944660 1180825 1889320 2361650 4723300 5904125 9446600 11808250 23616500 47233000