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47136900 = 22352712213
BaseRepresentation
bin1011001111010…
…0000010000100
310021200210200010
42303310002010
544031340100
64402150220
71111441236
oct263640204
9107623603
1047136900
1124675718
1213952370
1399c5175
146390256
154211750
hex2cf4084

47136900 has 72 divisors (see below), whose sum is σ = 138366144. Its totient is φ = 12387200.

The previous prime is 47136899. The next prime is 47136917. The reversal of 47136900 is 963174.

It is a happy number.

It is a super-2 number, since 2×471369002 = 4443774683220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20194 + ... + 22406.

It is an arithmetic number, because the mean of its divisors is an integer number (1921752).

Almost surely, 247136900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47136900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69183072).

47136900 is an abundant number, since it is smaller than the sum of its proper divisors (91229244).

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

47136900 is a wasteful number, since it uses less digits than its factorization.

47136900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2301 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 47136900 is about 6865.6317990408. The cubic root of 47136900 is about 361.2326572215.

The spelling of 47136900 in words is "forty-seven million, one hundred thirty-six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 71 75 100 142 150 213 284 300 355 426 710 852 1065 1420 1775 2130 2213 3550 4260 4426 5325 6639 7100 8852 10650 11065 13278 21300 22130 26556 33195 44260 55325 66390 110650 132780 157123 165975 221300 314246 331950 471369 628492 663900 785615 942738 1571230 1885476 2356845 3142460 3928075 4713690 7856150 9427380 11784225 15712300 23568450 47136900