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47042688 = 2737113743
BaseRepresentation
bin1011001101110…
…1000010000000
310021112000102210
42303131002000
544020331223
64400142120
71110566460
oct263350200
9107460383
1047042688
1124610960
1213907940
139991314
146367ba0
1541e3893
hex2cdd080

47042688 has 256 divisors, whose sum is σ = 163722240. Its totient is φ = 11612160.

The previous prime is 47042687. The next prime is 47042693. The reversal of 47042688 is 88624074.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47042687) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1093995 + ... + 1094037.

It is an arithmetic number, because the mean of its divisors is an integer number (639540).

Almost surely, 247042688 is an apocalyptic number.

47042688 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 47042688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81861120).

47042688 is an abundant number, since it is smaller than the sum of its proper divisors (116679552).

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

47042688 is a wasteful number, since it uses less digits than its factorization.

47042688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 47042688 is about 6858.7672361730. The cubic root of 47042688 is about 360.9918328020.

The spelling of 47042688 in words is "forty-seven million, forty-two thousand, six hundred eighty-eight".