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490000455 = 3357737103
BaseRepresentation
bin11101001101001…
…101000001000111
31021011000121021000
4131031031001013
52000420003310
6120342224343
715066635520
oct3515150107
91234017230
10490000455
1123165765a
121181250b3
137a6937c9
1449111847
152d0404c0
hex1d34d047

490000455 has 64 divisors (see below), whose sum is σ = 1009336320. Its totient is φ = 220900608.

The previous prime is 490000421. The next prime is 490000457. The reversal of 490000455 is 554000094.

It is not a de Polignac number, because 490000455 - 210 = 489999431 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490000457) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65434 + ... + 72536.

It is an arithmetic number, because the mean of its divisors is an integer number (15770880).

Almost surely, 2490000455 is an apocalyptic number.

490000455 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

490000455 is an abundant number, since it is smaller than the sum of its proper divisors (519335865).

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

490000455 is a wasteful number, since it uses less digits than its factorization.

490000455 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7197 (or 7191 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 490000455 is about 22135.9538985787. The cubic root of 490000455 is about 788.3737603308.

It can be divided in two parts, 49000045 and 5, that added together give a triangular number (49000050 = T9899).

The spelling of 490000455 in words is "four hundred ninety million, four hundred fifty-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 21 27 35 45 63 73 105 135 189 219 315 365 511 657 945 1095 1533 1971 2555 3285 4599 7103 7665 9855 13797 21309 22995 35515 49721 63927 68985 106545 149163 191781 248605 319635 447489 518519 745815 958905 1342467 1555557 2237445 2592595 3629633 4666671 6712335 7777785 10888899 14000013 18148165 23333355 32666697 54444495 70000065 98000091 163333485 490000455