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47138100 = 22352157127
BaseRepresentation
bin1011001111010…
…0010100110100
310021200212022120
42303310110310
544031404400
64402155540
71111444602
oct263642464
9107625276
1047138100
1124676609
1213952bb0
1399c5889
146390872
154211ca0
hex2cf4534

47138100 has 36 divisors (see below), whose sum is σ = 136387104. Its totient is φ = 12570080.

The previous prime is 47138083. The next prime is 47138129. The reversal of 47138100 is 183174.

47138100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×471381002 = 4444000943220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78264 + ... + 78863.

Almost surely, 247138100 is an apocalyptic number.

It is an amenable number.

47138100 is an abundant number, since it is smaller than the sum of its proper divisors (89249004).

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

47138100 is a wasteful number, since it uses less digits than its factorization.

47138100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157144 (or 157137 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 47138100 is about 6865.7191902961. The cubic root of 47138100 is about 361.2357225872.

The spelling of 47138100 in words is "forty-seven million, one hundred thirty-eight thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 157127 314254 471381 628508 785635 942762 1571270 1885524 2356905 3142540 3928175 4713810 7856350 9427620 11784525 15712700 23569050 47138100