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406441098 = 23371075241
BaseRepresentation
bin11000001110011…
…100110010001010
31001022210100101000
4120032130302022
51313022103343
6104155235430
713033456320
oct3016346212
91038710330
10406441098
11199475238
12b4148b76
13662882bb
143bd9dd10
1525a36ed3
hex1839cc8a

406441098 has 32 divisors (see below), whose sum is σ = 1032232320. Its totient is φ = 116125920.

The previous prime is 406441097. The next prime is 406441099. The reversal of 406441098 is 890144604.

It is a happy number.

406441098 is a `hidden beast` number, since 4 + 0 + 644 + 1 + 0 + 9 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (406441097) and next prime (406441099).

It is a super-2 number, since 2×4064410982 = 330388732286891208, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (406441097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 537243 + ... + 537998.

It is an arithmetic number, because the mean of its divisors is an integer number (32257260).

Almost surely, 2406441098 is an apocalyptic number.

406441098 is an abundant number, since it is smaller than the sum of its proper divisors (625791222).

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

406441098 is a wasteful number, since it uses less digits than its factorization.

406441098 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075259 (or 1075253 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 406441098 is about 20160.3843713358. The cubic root of 406441098 is about 740.7401275283.

The spelling of 406441098 in words is "four hundred six million, four hundred forty-one thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 1075241 2150482 3225723 6451446 7526687 9677169 15053374 19354338 22580061 29031507 45160122 58063014 67740183 135480366 203220549 406441098