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1490460048 = 2433721137173
BaseRepresentation
bin101100011010110…
…1001110110010000
310211212120012211000
41120311221312100
511023024210143
6403521422000
751635462400
oct13065516620
93755505730
101490460048
116a5364770
1235719a900
131a9a31c2c
14101d3c800
158acb2bd3
hex58d69d90

1490460048 has 480 divisors, whose sum is σ = 5608033920. Its totient is φ = 374492160.

The previous prime is 1490460047. The next prime is 1490460061. The reversal of 1490460048 is 8400640941.

It is a happy number.

1490460048 is a `hidden beast` number, since 1 + 4 + 9 + 0 + 4 + 600 + 48 = 666.

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 = 1490459994 and 1490460021.

It is not an unprimeable number, because it can be changed into a prime (1490460047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8615290 + ... + 8615462.

It is an arithmetic number, because the mean of its divisors is an integer number (11683404).

Almost surely, 21490460048 is an apocalyptic number.

1490460048 is a gapful number since it is divisible by the number (18) 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 1490460048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2804016960).

1490460048 is an abundant number, since it is smaller than the sum of its proper divisors (4117573872).

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

1490460048 is a wasteful number, since it uses less digits than its factorization.

1490460048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1490460048 is about 38606.4767623258. The cubic root of 1490460048 is about 1142.2822975620.

The spelling of 1490460048 in words is "one billion, four hundred ninety million, four hundred sixty thousand, forty-eight".