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47973492 = 22337233189
BaseRepresentation
bin1011011100000…
…0010001110100
310100021022021000
42313000101310
544240122432
64432123300
71121524260
oct267002164
9110238230
1047973492
1125097216
1214096530
139c28ba8
14652b0a0
15432957c
hex2dc0474

47973492 has 192 divisors, whose sum is σ = 154828800. Its totient is φ = 12545280.

The previous prime is 47973491. The next prime is 47973517. The reversal of 47973492 is 29437974.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47973491) 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 63 ways as a sum of consecutive naturals, for example, 538984 + ... + 539072.

It is an arithmetic number, because the mean of its divisors is an integer number (806400).

Almost surely, 247973492 is an apocalyptic number.

47973492 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 47973492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77414400).

47973492 is an abundant number, since it is smaller than the sum of its proper divisors (106855308).

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

47973492 is a wasteful number, since it uses less digits than its factorization.

47973492 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 155 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 47973492 is about 6926.2899159651. The cubic root of 47973492 is about 363.3572059243.

The spelling of 47973492 in words is "forty-seven million, nine hundred seventy-three thousand, four hundred ninety-two".