Search a number
-
+
47948860440 = 23345134753457
BaseRepresentation
bin101100101001111110…
…011000110000011000
311120202122020111010000
4230221332120300120
51241144402013230
634005530253000
73315134406015
oct545176306030
9146678214100
1047948860440
1119375977598
129361b87160
1346a1b2b690
14246c16270c
1513a977eb60
hexb29f98c18

47948860440 has 640 divisors, whose sum is σ = 180990754560. Its totient is φ = 11308916736.

The previous prime is 47948860409. The next prime is 47948860469. The reversal of 47948860440 is 4406884974.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 104920692 + ... + 104921148.

It is an arithmetic number, because the mean of its divisors is an integer number (282798054).

Almost surely, 247948860440 is an apocalyptic number.

47948860440 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 47948860440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90495377280).

47948860440 is an abundant number, since it is smaller than the sum of its proper divisors (133041894120).

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

47948860440 is a wasteful number, since it uses less digits than its factorization.

47948860440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 593 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 47948860440 in words is "forty-seven billion, nine hundred forty-eight million, eight hundred sixty thousand, four hundred forty".