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491495004 = 22327111323593
BaseRepresentation
bin11101010010111…
…001111001011100
31021020211112101200
4131102321321130
52001310320004
6120434235500
715115432020
oct3522717134
91236745350
10491495004
11232488520
12118725b90
137aa97b60
14493c0380
152d238239
hex1d4b9e5c

491495004 has 288 divisors, whose sum is σ = 1743565824. Its totient is φ = 112527360.

The previous prime is 491494979. The next prime is 491495029. The reversal of 491495004 is 400594194.

It is a happy number.

491495004 is a `hidden beast` number, since 4 + 9 + 149 + 500 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (491494979) and next prime (491495029).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 491495004.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 828532 + ... + 829124.

It is an arithmetic number, because the mean of its divisors is an integer number (6054048).

Almost surely, 2491495004 is an apocalyptic number.

491495004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491495004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (871782912).

491495004 is an abundant number, since it is smaller than the sum of its proper divisors (1252070820).

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

491495004 is a wasteful number, since it uses less digits than its factorization.

491495004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 491495004 is about 22169.6866013031. The cubic root of 491495004 is about 789.1744856430.

The spelling of 491495004 in words is "four hundred ninety-one million, four hundred ninety-five thousand, four".