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48440000400 = 24352113799181
BaseRepresentation
bin101101000111001111…
…111011111110010000
311122000212101222110220
4231013033323332100
51243201120003100
634130353153040
73333250131651
oct550717737620
9148025358426
1048440000400
11195a8132290
12947a55b780
13474c800a3c
1424b748d528
1513d7947aa0
hexb473fbf90

48440000400 has 240 divisors, whose sum is σ = 173852557248. Its totient is φ = 11425536000.

The previous prime is 48440000339. The next prime is 48440000423. The reversal of 48440000400 is 400004484.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 438810 + ... + 537990.

Almost surely, 248440000400 is an apocalyptic number.

48440000400 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 48440000400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86926278624).

48440000400 is an abundant number, since it is smaller than the sum of its proper divisors (125412556848).

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

48440000400 is a wasteful number, since it uses less digits than its factorization.

48440000400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99250 (or 99239 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 48440000400 its reverse (400004484), we get a palindrome (48840004884).

The spelling of 48440000400 in words is "forty-eight billion, four hundred forty million, four hundred", and thus it is an aban number.