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47191872 = 2637133773
BaseRepresentation
bin1011010000000…
…1011101000000
310021210121002010
42310001131000
544040114442
64403252520
71112060430
oct264013500
9107717063
1047191872
1124702a52
121397a140
139a141b0
1463a62c0
154222b9c
hex2d01740

47191872 has 224 divisors, whose sum is σ = 159991552. Its totient is φ = 11943936.

The previous prime is 47191871. The next prime is 47191913. The reversal of 47191872 is 27819174.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 47191872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47191871) 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, 646428 + ... + 646500.

It is an arithmetic number, because the mean of its divisors is an integer number (714248).

Almost surely, 247191872 is an apocalyptic number.

47191872 is a gapful number since it is divisible by the number (42) 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 47191872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79995776).

47191872 is an abundant number, since it is smaller than the sum of its proper divisors (112799680).

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

47191872 is a wasteful number, since it uses less digits than its factorization.

47191872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 135 counting only the distinct ones).

The product of its digits is 28224, while the sum is 39.

The square root of 47191872 is about 6869.6340513888. The cubic root of 47191872 is about 361.3730282624.

The spelling of 47191872 in words is "forty-seven million, one hundred ninety-one thousand, eight hundred seventy-two".