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47480832 = 21532723
BaseRepresentation
bin1011010100100…
…0000000000000
310022100021110100
42311020000000
544123341312
64413402400
71114403040
oct265100000
9108307410
1047480832
1124890063
1213a99400
139ab5889
14643d720
15427d5dc
hex2d48000

47480832 has 192 divisors, whose sum is σ = 163575360. Its totient is φ = 12976128.

The previous prime is 47480827. The next prime is 47480843. The reversal of 47480832 is 23808474.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2064373 + ... + 2064395.

It is an arithmetic number, because the mean of its divisors is an integer number (851955).

Almost surely, 247480832 is an apocalyptic number.

47480832 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 47480832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81787680).

47480832 is an abundant number, since it is smaller than the sum of its proper divisors (116094528).

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

47480832 is an equidigital number, since it uses as much as digits as its factorization.

47480832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 35 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 47480832 is about 6890.6336428517. The cubic root of 47480832 is about 362.1091009433.

The spelling of 47480832 in words is "forty-seven million, four hundred eighty thousand, eight hundred thirty-two".