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47135088 = 243371113109
BaseRepresentation
bin1011001111001…
…1100101110000
310021200201012000
42303303211300
544031310323
64402134000
71111433040
oct263634560
9107621160
1047135088
1124674320
1213951300
1399c43b0
14638d720
154210e43
hex2cf3970

47135088 has 320 divisors, whose sum is σ = 183321600. Its totient is φ = 11197440.

The previous prime is 47135087. The next prime is 47135089. The reversal of 47135088 is 88053174.

It is an interprime number because it is at equal distance from previous prime (47135087) and next prime (47135089).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47135083) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 432378 + ... + 432486.

It is an arithmetic number, because the mean of its divisors is an integer number (572880).

Almost surely, 247135088 is an apocalyptic number.

47135088 is a gapful number since it is divisible by the number (48) 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 47135088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91660800).

47135088 is an abundant number, since it is smaller than the sum of its proper divisors (136186512).

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

47135088 is a wasteful number, since it uses less digits than its factorization.

47135088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 47135088 is about 6865.4998361372. The cubic root of 47135088 is about 361.2280284207.

It can be divided in two parts, 4713 and 5088, that added together give a square (9801 = 992).

The spelling of 47135088 in words is "forty-seven million, one hundred thirty-five thousand, eighty-eight".