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47793042 = 23211281859
BaseRepresentation
bin1011011001010…
…0001110010010
310022221010201200
42312110032102
544213334132
64424212030
71120143213
oct266241622
9108833650
1047793042
1124a83690
121400a016
139b94a0b
1464c140a
1542e0d7c
hex2d94392

47793042 has 48 divisors (see below), whose sum is σ = 113499360. Its totient is φ = 14414400.

The previous prime is 47793019. The next prime is 47793047. The reversal of 47793042 is 24039774.

It is a super-2 number, since 2×477930422 = 4568349727227528, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 47792988 and 47793006.

It is not an unprimeable number, because it can be changed into a prime (47793047) 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, 55209 + ... + 56067.

It is an arithmetic number, because the mean of its divisors is an integer number (2364570).

Almost surely, 247793042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47793042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56749680).

47793042 is an abundant number, since it is smaller than the sum of its proper divisors (65706318).

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

47793042 is a wasteful number, since it uses less digits than its factorization.

47793042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1159 (or 1156 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 47793042 is about 6913.2511888402. The cubic root of 47793042 is about 362.9010499142.

The spelling of 47793042 in words is "forty-seven million, seven hundred ninety-three thousand, forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 281 562 843 859 1686 1718 2529 2577 3091 5058 5154 6182 7731 9273 9449 15462 18546 18898 27819 28347 55638 56694 85041 170082 241379 482758 724137 1448274 2172411 2655169 4344822 5310338 7965507 15931014 23896521 47793042