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47253960 = 233251323439
BaseRepresentation
bin1011010001000…
…0100111001000
310021220202020200
42310100213020
544044111320
64404452200
71112436435
oct264204710
9107822220
1047253960
1124745666
12139aa060
139a36530
1463c0b8c
154236290
hex2d109c8

47253960 has 192 divisors, whose sum is σ = 172972800. Its totient is φ = 11100672.

The previous prime is 47253959. The next prime is 47253967. The reversal of 47253960 is 6935274.

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

It is not an unprimeable number, because it can be changed into a prime (47253967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107421 + ... + 107859.

It is an arithmetic number, because the mean of its divisors is an integer number (900900).

Almost surely, 247253960 is an apocalyptic number.

47253960 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 47253960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86486400).

47253960 is an abundant number, since it is smaller than the sum of its proper divisors (125718840).

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

47253960 is a wasteful number, since it uses less digits than its factorization.

47253960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 47253960 is about 6874.1515840138. The cubic root of 47253960 is about 361.5314389879.

The spelling of 47253960 in words is "forty-seven million, two hundred fifty-three thousand, nine hundred sixty".