Search a number
-
+
48195089424 = 2434318397149
BaseRepresentation
bin101100111000101001…
…101011010000010000
311121101210120012210000
4230320221223100100
51242200420330144
634050204010000
73324214333536
oct547051532020
9147353505700
1048195089424
1119491965019
129410530900
134710b507c1
142492b3a156
1513c11bb769
hexb38a6b410

48195089424 has 400 divisors, whose sum is σ = 148215513600. Its totient is φ = 15099125760.

The previous prime is 48195089389. The next prime is 48195089429. The reversal of 48195089424 is 42498059184.

It is a happy number.

48195089424 is a `hidden beast` number, since 48 + 1 + 9 + 508 + 94 + 2 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (48195089429) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 323456902 + ... + 323457050.

It is an arithmetic number, because the mean of its divisors is an integer number (370538784).

Almost surely, 248195089424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48195089424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74107756800).

48195089424 is an abundant number, since it is smaller than the sum of its proper divisors (100020424176).

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

48195089424 is a wasteful number, since it uses less digits than its factorization.

48195089424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 48195089424 in words is "forty-eight billion, one hundred ninety-five million, eighty-nine thousand, four hundred twenty-four".