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47253888 = 2733112113
BaseRepresentation
bin1011010001000…
…0100110000000
310021220202011000
42310100212000
544044111023
64404452000
71112436303
oct264204600
9107822130
1047253888
1124745600
12139aa000
139a364a6
1463c0b3a
154236243
hex2d10980

47253888 has 192 divisors, whose sum is σ = 154652400. Its totient is φ = 14192640.

The previous prime is 47253887. The next prime is 47253907. The reversal of 47253888 is 88835274.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×472538882 = 4465859862233088, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47253881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 418120 + ... + 418232.

Almost surely, 247253888 is an apocalyptic number.

47253888 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 47253888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77326200).

47253888 is an abundant number, since it is smaller than the sum of its proper divisors (107398512).

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

47253888 is a wasteful number, since it uses less digits than its factorization.

47253888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 129 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 47253888 is about 6874.1463470019. The cubic root of 47253888 is about 361.5312553682.

The spelling of 47253888 in words is "forty-seven million, two hundred fifty-three thousand, eight hundred eighty-eight".