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47420576 = 257316829
BaseRepresentation
bin1011010011100…
…1010010100000
310022020012210122
42310321102200
544114424301
64412215412
71114032260
oct264712240
9108205718
1047420576
1124849865
1213a6a568
139a94318
1464257a0
15426a81b
hex2d394a0

47420576 has 48 divisors (see below), whose sum is σ = 110154240. Its totient is φ = 19664640.

The previous prime is 47420573. The next prime is 47420579. The reversal of 47420576 is 67502474.

It is an interprime number because it is at equal distance from previous prime (47420573) and next prime (47420579).

It is a super-2 number, since 2×474205762 = 4497422056343552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47420573) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3530 + ... + 10358.

It is an arithmetic number, because the mean of its divisors is an integer number (2294880).

Almost surely, 247420576 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 47420576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55077120).

47420576 is an abundant number, since it is smaller than the sum of its proper divisors (62733664).

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

47420576 is a wasteful number, since it uses less digits than its factorization.

47420576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6877 (or 6869 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 35.

The square root of 47420576 is about 6886.2599428137. The cubic root of 47420576 is about 361.9558567704.

The spelling of 47420576 in words is "forty-seven million, four hundred twenty thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 56 62 112 124 217 224 248 434 496 868 992 1736 3472 6829 6944 13658 27316 47803 54632 95606 109264 191212 211699 218528 382424 423398 764848 846796 1481893 1529696 1693592 2963786 3387184 5927572 6774368 11855144 23710288 47420576