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490591476 = 2232192393001
BaseRepresentation
bin11101001111011…
…101010011110100
31021012010121222200
4131033131103310
52001042411401
6120403024500
715104646564
oct3517352364
91235117880
10490591476
11231a20701
1211836b130
137a83c81b
1449226da4
152d10a686
hex1d3dd4f4

490591476 has 72 divisors (see below), whose sum is σ = 1311273600. Its totient is φ = 154224000.

The previous prime is 490591471. The next prime is 490591477. The reversal of 490591476 is 674195094.

490591476 is a `hidden beast` number, since 4 + 90 + 5 + 91 + 476 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490591471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 161976 + ... + 164976.

Almost surely, 2490591476 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 490591476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655636800).

490591476 is an abundant number, since it is smaller than the sum of its proper divisors (820682124).

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

490591476 is a wasteful number, since it uses less digits than its factorization.

490591476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3269 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 490591476 is about 22149.2996729016. The cubic root of 490591476 is about 788.6906023754.

The spelling of 490591476 in words is "four hundred ninety million, five hundred ninety-one thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 239 342 478 684 717 956 1434 2151 2868 3001 4302 4541 6002 8604 9003 9082 12004 13623 18006 18164 27009 27246 36012 40869 54018 54492 57019 81738 108036 114038 163476 171057 228076 342114 513171 684228 717239 1026342 1434478 2052684 2151717 2868956 4303434 6455151 8606868 12910302 13627541 25820604 27255082 40882623 54510164 81765246 122647869 163530492 245295738 490591476