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47148480 = 2634517107
BaseRepresentation
bin1011001111011…
…0110111000000
310021201101120000
42303312313000
544032222410
64402320000
71111520061
oct263666700
9107641500
1047148480
1124683395
1213959000
1399ca512
146394568
154214dc0
hex2cf6dc0

47148480 has 280 divisors, whose sum is σ = 179240688. Its totient is φ = 11722752.

The previous prime is 47148467. The next prime is 47148487. The reversal of 47148480 is 8484174.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47148487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 440587 + ... + 440693.

Almost surely, 247148480 is an apocalyptic number.

47148480 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 47148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89620344).

47148480 is an abundant number, since it is smaller than the sum of its proper divisors (132092208).

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

47148480 is a wasteful number, since it uses less digits than its factorization.

47148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 47148480 is about 6866.4750782334. The cubic root of 47148480 is about 361.2622358295.

The spelling of 47148480 in words is "forty-seven million, one hundred forty-eight thousand, four hundred eighty".