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47478960 = 2434517431
BaseRepresentation
bin1011010100011…
…1100010110000
310022100011220000
42311013202300
544123311320
64413350000
71114364424
oct265074260
9108304800
1047478960
1124889711
1213a98300
139ab4a79
14643cb84
15427cc90
hex2d478b0

47478960 has 200 divisors, whose sum is σ = 175006656. Its totient is φ = 11888640.

The previous prime is 47478931. The next prime is 47478997. The reversal of 47478960 is 6987474.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 109945 + ... + 110375.

Almost surely, 247478960 is an apocalyptic number.

47478960 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 47478960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87503328).

47478960 is an abundant number, since it is smaller than the sum of its proper divisors (127527696).

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

47478960 is a wasteful number, since it uses less digits than its factorization.

47478960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 47478960 is about 6890.4978049485. The cubic root of 47478960 is about 362.1043419902.

The spelling of 47478960 in words is "forty-seven million, four hundred seventy-eight thousand, nine hundred sixty".