48149000 has 64 divisors (see below), whose sum is σ = 114145200. Its totient is φ = 19008000.

The previous prime is 48148993. The next prime is 48149011. The reversal of 48149000 is 94184.

It can be written as a sum of positive squares in 8 ways, for example, as 68644 + 48080356 = 262^2 + 6934^2 .

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, 88730 + ... + 89270.

Almost surely, 2^48149000 is an apocalyptic number.

48149000 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 48149000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57072600).

48149000 is an abundant number, since it is smaller than the sum of its proper divisors (65996200).

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

48149000 is a wasteful number, since it uses less digits than its factorization.

48149000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 637 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 48149000 is about 6938.9480470746. The cubic root of 48149000 is about 363.7997731476.

The spelling of 48149000 in words is "forty-eight million, one hundred forty-nine thousand".