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47443968 = 212341113
BaseRepresentation
bin1011010011111…
…1000000000000
310022021101220000
42310333000000
544121201333
64412520000
71114160415
oct264770000
9108241800
1047443968
11248653a0
1213a80000
139aa1b70
14643010c
154272713
hex2d3f000

47443968 has 260 divisors, whose sum is σ = 166506648. Its totient is φ = 13271040.

The previous prime is 47443943. The next prime is 47443993. The reversal of 47443968 is 86934474.

It is an interprime number because it is at equal distance from previous prime (47443943) and next prime (47443993).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3649530 + ... + 3649542.

Almost surely, 247443968 is an apocalyptic number.

47443968 is a gapful number since it is divisible by the number (48) 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 47443968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83253324).

47443968 is an abundant number, since it is smaller than the sum of its proper divisors (119062680).

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

47443968 is a wasteful number, since it uses less digits than its factorization.

47443968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 29 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 47443968 is about 6887.9581880264. The cubic root of 47443968 is about 362.0153631444.

The spelling of 47443968 in words is "forty-seven million, four hundred forty-three thousand, nine hundred sixty-eight".