48778002 has 96 divisors (see below), whose sum is σ = 131843712. Its totient is φ = 12690432.

The previous prime is 48778001. The next prime is 48778003. The reversal of 48778002 is 20087784.

It is an interprime number because it is at equal distance from previous prime (48778001) and next prime (48778003).

It is a super-2 number, since 2×48778002² = 4758586958224008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (48778001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 158733 + ... + 159039.

It is an arithmetic number, because the mean of its divisors is an integer number (1373372).

Almost surely, 2^48778002 is an apocalyptic number.

48778002 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48778002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65921856).

48778002 is an abundant number, since it is smaller than the sum of its proper divisors (83065710).

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

48778002 is a wasteful number, since it uses less digits than its factorization.

48778002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 48778002 is about 6984.1249988814. The cubic root of 48778002 is about 365.3771094633.

The spelling of 48778002 in words is "forty-eight million, seven hundred seventy-eight thousand, two".