Search a number
-
+
490637268 = 2232114192957
BaseRepresentation
bin11101001111101…
…000011111010100
31021012012221210200
4131033220133110
52001100343033
6120404020500
715105230232
oct3517503724
91235187720
10490637268
11231a52050
12118391730
137a857614
1449239952
152d119013
hex1d3e87d4

490637268 has 72 divisors (see below), whose sum is σ = 1356657120. Its totient is φ = 148272960.

The previous prime is 490637263. The next prime is 490637281. The reversal of 490637268 is 862736094.

490637268 is a `hidden beast` number, since 4 + 9 + 0 + 637 + 2 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490637263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 164446 + ... + 167402.

It is an arithmetic number, because the mean of its divisors is an integer number (18842460).

Almost surely, 2490637268 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 490637268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678328560).

490637268 is an abundant number, since it is smaller than the sum of its proper divisors (866019852).

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

490637268 is a wasteful number, since it uses less digits than its factorization.

490637268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3397 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 490637268 is about 22150.3333609226. Note that the first 4 decimals coincide. The cubic root of 490637268 is about 788.7151405083.

The spelling of 490637268 in words is "four hundred ninety million, six hundred thirty-seven thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 419 838 1257 1676 2514 2957 3771 4609 5028 5914 7542 8871 9218 11828 13827 15084 17742 18436 26613 27654 32527 35484 41481 53226 55308 65054 82962 97581 106452 130108 165924 195162 292743 390324 585486 1170972 1238983 2477966 3716949 4955932 7433898 11150847 13628813 14867796 22301694 27257626 40886439 44603388 54515252 81772878 122659317 163545756 245318634 490637268