Search a number
-
+
47082240 = 283256167
BaseRepresentation
bin1011001110011…
…0101100000000
310021121000200200
42303212230000
544023112430
64401045200
71111123002
oct263465400
9107530620
1047082240
1124638647
1213926800
1399a631a
146378372
154200460
hex2ce6b00

47082240 has 216 divisors, whose sum is σ = 168041328. Its totient is φ = 12165120.

The previous prime is 47082239. The next prime is 47082257. The reversal of 47082240 is 4228074.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 702687 + ... + 702753.

Almost surely, 247082240 is an apocalyptic number.

47082240 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 47082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84020664).

47082240 is an abundant number, since it is smaller than the sum of its proper divisors (120959088).

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

47082240 is a wasteful number, since it uses less digits than its factorization.

47082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 47082240 is about 6861.6499473523. The cubic root of 47082240 is about 361.0929746228.

The spelling of 47082240 in words is "forty-seven million, eighty-two thousand, two hundred forty".