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490613144 = 23743732791
BaseRepresentation
bin11101001111100…
…010100110011000
31021012011201201012
4131033202212120
52001044110034
6120403313052
715105100010
oct3517424630
91235151635
10490613144
11231a35a0a
1211837b788
137a849648
1449230c40
152d111cce
hex1d3e2998

490613144 has 64 divisors (see below), whose sum is σ = 1090890240. Its totient is φ = 202487040.

The previous prime is 490613131. The next prime is 490613153. The reversal of 490613144 is 441316094.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 490613144.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174389 + ... + 177179.

It is an arithmetic number, because the mean of its divisors is an integer number (17045160).

Almost surely, 2490613144 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 490613144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (545445120).

490613144 is an abundant number, since it is smaller than the sum of its proper divisors (600277096).

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

490613144 is a wasteful number, since it uses less digits than its factorization.

490613144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2920 (or 2916 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 490613144 is about 22149.7888026049. The cubic root of 490613144 is about 788.7022135952.

The spelling of 490613144 in words is "four hundred ninety million, six hundred thirteen thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 43 56 73 86 146 172 292 301 344 511 584 602 1022 1204 2044 2408 2791 3139 4088 5582 6278 11164 12556 19537 21973 22328 25112 39074 43946 78148 87892 120013 156296 175784 203743 240026 407486 480052 814972 840091 960104 1426201 1629944 1680182 2852402 3360364 5704804 6720728 8760949 11409608 17521898 35043796 61326643 70087592 122653286 245306572 490613144