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490667541 = 37134159743
BaseRepresentation
bin11101001111101…
…111111000010101
31021012021111022220
4131033233320111
52001102330131
6120404412553
715105414420
oct3517577025
91235244286
10490667541
11231a72871
121183a7159
137a868330
14492469b7
152d122e96
hex1d3efe15

490667541 has 64 divisors (see below), whose sum is σ = 839946240. Its totient is φ = 247887360.

The previous prime is 490667519. The next prime is 490667557. The reversal of 490667541 is 145766094.

It is not a de Polignac number, because 490667541 - 25 = 490667509 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 490667493 and 490667502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490667561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 660016 + ... + 660758.

It is an arithmetic number, because the mean of its divisors is an integer number (13124160).

Almost surely, 2490667541 is an apocalyptic number.

490667541 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

490667541 is a deficient number, since it is larger than the sum of its proper divisors (349278699).

490667541 is a wasteful number, since it uses less digits than its factorization.

490667541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866.

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 490667541 is about 22151.0167035285. The cubic root of 490667541 is about 788.7313617807.

The spelling of 490667541 in words is "four hundred ninety million, six hundred sixty-seven thousand, five hundred forty-one".

Divisors: 1 3 7 13 21 39 41 59 91 123 177 273 287 413 533 743 767 861 1239 1599 2229 2301 2419 3731 5201 5369 7257 9659 11193 15603 16107 16933 28977 30463 31447 43837 50799 67613 91389 94341 131511 202839 213241 220129 306859 396019 569881 639723 660387 920577 1188057 1709643 1797317 2772133 3989167 5391951 8316399 11967501 12581219 23365121 37743657 70095363 163555847 490667541