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1490806944 = 25351129601
BaseRepresentation
bin101100011011011…
…1110100010100000
310211220012211200000
41120312332202200
511023121310234
6403533100000
751641435634
oct13066764240
93756184600
101490806944
116a5581360
12357327600
131a9b23ab3
14101dccdc4
158ad30899
hex58dbe8a0

1490806944 has 288 divisors, whose sum is σ = 4969823040. Its totient is φ = 435456000.

The previous prime is 1490806943. The next prime is 1490806969. The reversal of 1490806944 is 4496080941.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1490806944.

It is not an unprimeable number, because it can be changed into a prime (1490806943) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2480244 + ... + 2480844.

It is an arithmetic number, because the mean of its divisors is an integer number (17256330).

Almost surely, 21490806944 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 1490806944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484911520).

1490806944 is an abundant number, since it is smaller than the sum of its proper divisors (3479016096).

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

1490806944 is a wasteful number, since it uses less digits than its factorization.

1490806944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 1490806944 is about 38610.9692186042. The cubic root of 1490806944 is about 1142.3709105650.

The spelling of 1490806944 in words is "one billion, four hundred ninety million, eight hundred six thousand, nine hundred forty-four".