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98164404 = 223213375669
BaseRepresentation
bin1011101100111…
…01111010110100
320211201021020200
411312131322310
5200112230104
613424000500
72301245412
oct566357264
9224637220
1098164404
1150458408
1228a60130
1317450160
14d0742b2
158940b39
hex5d9deb4

98164404 has 72 divisors (see below), whose sum is σ = 274496040. Its totient is φ = 29382912.

The previous prime is 98164403. The next prime is 98164471. The reversal of 98164404 is 40446189.

It is a happy number.

98164404 is a `hidden beast` number, since 9 + 8 + 1 + 644 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7952400 + 90212004 = 2820^2 + 9498^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98164403) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 14482 + ... + 20150.

It is an arithmetic number, because the mean of its divisors is an integer number (3812445).

Almost surely, 298164404 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 98164404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137248020).

98164404 is an abundant number, since it is smaller than the sum of its proper divisors (176331636).

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

98164404 is a wasteful number, since it uses less digits than its factorization.

98164404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5729 (or 5724 counting only the distinct ones).

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

The square root of 98164404 is about 9907.7951129401. The cubic root of 98164404 is about 461.3012995139.

The spelling of 98164404 in words is "ninety-eight million, one hundred sixty-four thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 37 39 52 74 78 111 117 148 156 222 234 333 444 468 481 666 962 1332 1443 1924 2886 4329 5669 5772 8658 11338 17007 17316 22676 34014 51021 68028 73697 102042 147394 204084 209753 221091 294788 419506 442182 629259 663273 839012 884364 1258518 1326546 1887777 2517036 2653092 2726789 3775554 5453578 7551108 8180367 10907156 16360734 24541101 32721468 49082202 98164404