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47973120 = 283513312
BaseRepresentation
bin1011011100000…
…0001100000000
310100021021202020
42313000030000
544240114440
64432121440
71121523216
oct267001400
9110237666
1047973120
1125096a08
1214096280
139c28980
14652acb6
1543293d0
hex2dc0300

47973120 has 216 divisors, whose sum is σ = 170494128. Its totient is φ = 11427840.

The previous prime is 47973113. The next prime is 47973131. The reversal of 47973120 is 2137974.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1547505 + ... + 1547535.

Almost surely, 247973120 is an apocalyptic number.

47973120 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 47973120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85247064).

47973120 is an abundant number, since it is smaller than the sum of its proper divisors (122521008).

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

47973120 is a wasteful number, since it uses less digits than its factorization.

47973120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 47973120 is about 6926.2630617094. The cubic root of 47973120 is about 363.3562667304.

The spelling of 47973120 in words is "forty-seven million, nine hundred seventy-three thousand, one hundred twenty".