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47974080 = 2635711259
BaseRepresentation
bin1011011100000…
…0011011000000
310100021100001210
42313000123000
544240132310
64432130120
71121526060
oct267003300
9110240053
1047974080
1125097700
1214096940
139c2923b
14652b3a0
154329820
hex2dc06c0

47974080 has 336 divisors, whose sum is σ = 194584320. Its totient is φ = 9799680.

The previous prime is 47974039. The next prime is 47974099. The reversal of 47974080 is 8047974.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 813091 + ... + 813149.

It is an arithmetic number, because the mean of its divisors is an integer number (579120).

Almost surely, 247974080 is an apocalyptic number.

47974080 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 47974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97292160).

47974080 is an abundant number, since it is smaller than the sum of its proper divisors (146610240).

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

47974080 is a wasteful number, since it uses less digits than its factorization.

47974080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 47974080 is about 6926.3323628021. The cubic root of 47974080 is about 363.3586904466.

The spelling of 47974080 in words is "forty-seven million, nine hundred seventy-four thousand, eighty".