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47144768 = 2611167401
BaseRepresentation
bin1011001111010…
…1111101000000
310021201012110112
42303311331000
544032113033
64402250452
71111503206
oct263657500
9107635415
1047144768
1124680620
1213956a28
1399c8918
146393076
154213c48
hex2cf5f40

47144768 has 56 divisors (see below), whose sum is σ = 102924864. Its totient is φ = 21248000.

The previous prime is 47144761. The next prime is 47144803. The reversal of 47144768 is 86744174.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47144761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117368 + ... + 117768.

It is an arithmetic number, because the mean of its divisors is an integer number (1837944).

Almost surely, 247144768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47144768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51462432).

47144768 is an abundant number, since it is smaller than the sum of its proper divisors (55780096).

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

47144768 is a wasteful number, since it uses less digits than its factorization.

47144768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 581 counting only the distinct ones).

The product of its digits is 150528, while the sum is 41.

The square root of 47144768 is about 6866.2047741092. The cubic root of 47144768 is about 361.2527548550.

The spelling of 47144768 in words is "forty-seven million, one hundred forty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 167 176 334 352 401 668 704 802 1336 1604 1837 2672 3208 3674 4411 5344 6416 7348 8822 10688 12832 14696 17644 25664 29392 35288 58784 66967 70576 117568 133934 141152 267868 282304 535736 736637 1071472 1473274 2142944 2946548 4285888 5893096 11786192 23572384 47144768