47862144 has 128 divisors (see below), whose sum is σ = 154224000. Its totient is φ = 14492160.

The previous prime is 47862137. The next prime is 47862173. The reversal of 47862144 is 44126874.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 47862099 and 47862108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37387 + ... + 38645.

It is an arithmetic number, because the mean of its divisors is an integer number (1204875).

Almost surely, 2^47862144 is an apocalyptic number.

47862144 is a gapful number since it is divisible by the number (44) 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 47862144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77112000).

47862144 is an abundant number, since it is smaller than the sum of its proper divisors (106361856).

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

47862144 is a wasteful number, since it uses less digits than its factorization.

47862144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1293 (or 1275 counting only the distinct ones).

The product of its digits is 43008, while the sum is 36.

The square root of 47862144 is about 6918.2471768505. The cubic root of 47862144 is about 363.0758669376.

The spelling of 47862144 in words is "forty-seven million, eight hundred sixty-two thousand, one hundred forty-four".