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490748401 = 1113172367131
BaseRepresentation
bin11101010000000…
…011100111110001
31021012102121020201
4131100003213301
52001112422101
6120410235201
715106202233
oct3520034761
91235377221
10490748401
112320185a0
12118425b01
137a896090
1449268253
152d13be01
hex1d4039f1

490748401 has 64 divisors (see below), whose sum is σ = 651442176. Its totient is φ = 362419200.

The previous prime is 490748389. The next prime is 490748407. The reversal of 490748401 is 104847094.

It is not a de Polignac number, because 490748401 - 27 = 490748273 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (490748407) 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, 3746106 + ... + 3746236.

It is an arithmetic number, because the mean of its divisors is an integer number (10178784).

Almost surely, 2490748401 is an apocalyptic number.

It is an amenable number.

490748401 is a deficient number, since it is larger than the sum of its proper divisors (160693775).

490748401 is a wasteful number, since it uses less digits than its factorization.

490748401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262.

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 490748401 is about 22152.8418267273. The cubic root of 490748401 is about 788.7746859663.

It can be divided in two parts, 49074 and 8401, that added together give a palindrome (57475).

The spelling of 490748401 in words is "four hundred ninety million, seven hundred forty-eight thousand, four hundred one".

Divisors: 1 11 13 17 23 67 131 143 187 221 253 299 391 737 871 1139 1441 1541 1703 2227 2431 3013 3289 4301 5083 8777 9581 12529 14807 16951 18733 20033 24497 26197 28951 33143 39169 51221 55913 96547 114101 149209 162877 201871 220363 288167 318461 340561 430859 563431 665873 1255111 1641299 1939717 2220581 2624323 3431807 3746171 7324603 21336887 28867553 37749877 44613491 490748401