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408100098 = 23728013469
BaseRepresentation
bin11000010100110…
…001110100000010
31001102220122002110
4120110301310002
51313433200343
6104255000150
713053536130
oct3024616402
91042818073
10408100098
1119a3a870a
12b4809056
1366719463
143c2b2750
1525c63833
hex18531d02

408100098 has 32 divisors (see below), whose sum is σ = 933402240. Its totient is φ = 116524800.

The previous prime is 408100097. The next prime is 408100129. The reversal of 408100098 is 890001804.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (408100097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115908 + ... + 119376.

It is an arithmetic number, because the mean of its divisors is an integer number (29168820).

Almost surely, 2408100098 is an apocalyptic number.

408100098 is an abundant number, since it is smaller than the sum of its proper divisors (525302142).

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

408100098 is a wasteful number, since it uses less digits than its factorization.

408100098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6282.

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 408100098 is about 20201.4875194873. The cubic root of 408100098 is about 741.7466035346.

The spelling of 408100098 in words is "four hundred eight million, one hundred thousand, ninety-eight".

Divisors: 1 2 3 6 7 14 21 42 2801 3469 5602 6938 8403 10407 16806 19607 20814 24283 39214 48566 58821 72849 117642 145698 9716669 19433338 29150007 58300014 68016683 136033366 204050049 408100098