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404134542 = 23375918121
BaseRepresentation
bin11000000101101…
…001101010001110
31001011110011101000
4120011221222032
51311424301132
6104034001130
713005041550
oct3005515216
91034404330
10404134542
1119813a299
12b34161a6
136595b486
143b95d4d0
152572d87c
hex18169a8e

404134542 has 64 divisors (see below), whose sum is σ = 1043827200. Its totient is φ = 113503680.

The previous prime is 404134537. The next prime is 404134559. The reversal of 404134542 is 245431404.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 13242 + ... + 31362.

It is an arithmetic number, because the mean of its divisors is an integer number (16309800).

Almost surely, 2404134542 is an apocalyptic number.

404134542 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 404134542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521913600).

404134542 is an abundant number, since it is smaller than the sum of its proper divisors (639692658).

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

404134542 is a wasteful number, since it uses less digits than its factorization.

404134542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18198 (or 18192 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 404134542 is about 20103.0978209827. The cubic root of 404134542 is about 739.3362333767.

Adding to 404134542 its reverse (245431404), we get a palindrome (649565946).

It can be divided in two parts, 4041 and 34542, that added together give a palindrome (38583).

The spelling of 404134542 in words is "four hundred four million, one hundred thirty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 59 63 118 126 177 189 354 378 413 531 826 1062 1239 1593 2478 3186 3717 7434 11151 18121 22302 36242 54363 108726 126847 163089 253694 326178 380541 489267 761082 978534 1069139 1141623 2138278 2283246 3207417 3424869 6414834 6849738 7483973 9622251 14967946 19244502 22451919 28866753 44903838 57733506 67355757 134711514 202067271 404134542