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47139840 = 2103351131
BaseRepresentation
bin1011001111010…
…0110000000000
310021200221201000
42303310300000
544031433330
64402212000
71111452636
oct263646000
9107627630
1047139840
1124677950
1213954000
1399c65c7
146391356
154212560
hex2cf4c00

47139840 has 352 divisors, whose sum is σ = 188651520. Its totient is φ = 11059200.

The previous prime is 47139839. The next prime is 47139847. The reversal of 47139840 is 4893174.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

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

It is a junction number, because it is equal to n+sod(n) for n = 47139795 and 47139804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47139847) 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, 1520625 + ... + 1520655.

Almost surely, 247139840 is an apocalyptic number.

47139840 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 47139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94325760).

47139840 is an abundant number, since it is smaller than the sum of its proper divisors (141511680).

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

47139840 is a wasteful number, since it uses less digits than its factorization.

47139840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 47139840 is about 6865.8459056405. The cubic root of 47139840 is about 361.2401672751.

The spelling of 47139840 in words is "forty-seven million, one hundred thirty-nine thousand, eight hundred forty".