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47233840 = 2451274649
BaseRepresentation
bin1011010000101…
…1101100110000
310021212201122111
42310023230300
544042440330
64404215104
71112323663
oct264135460
9107781574
1047233840
1124731535
121399a494
139a2a324
1463b76da
15423032a
hex2d0bb30

47233840 has 40 divisors (see below), whose sum is σ = 110707200. Its totient is φ = 18740736.

The previous prime is 47233819. The next prime is 47233841. The reversal of 47233840 is 4833274.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×472338402 = 4462071282291200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (47233841) 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, 7836 + ... + 12484.

It is an arithmetic number, because the mean of its divisors is an integer number (2767680).

Almost surely, 247233840 is an apocalyptic number.

47233840 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 47233840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55353600).

47233840 is an abundant number, since it is smaller than the sum of its proper divisors (63473360).

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

47233840 is a wasteful number, since it uses less digits than its factorization.

47233840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4789 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 47233840 is about 6872.6879748756. The cubic root of 47233840 is about 361.4801202188.

The spelling of 47233840 in words is "forty-seven million, two hundred thirty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 127 254 508 635 1016 1270 2032 2540 4649 5080 9298 10160 18596 23245 37192 46490 74384 92980 185960 371920 590423 1180846 2361692 2952115 4723384 5904230 9446768 11808460 23616920 47233840