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404134556 = 227271113257
BaseRepresentation
bin11000000101101…
…001101010011100
31001011110011101112
4120011221222130
51311424301211
6104034001152
713005041600
oct3005515234
91034404345
10404134556
1119813a301
12b34161b8
136595b497
143b95d500
152572d88b
hex18169a9c

404134556 has 72 divisors (see below), whose sum is σ = 844947936. Its totient is φ = 168591360.

The previous prime is 404134537. The next prime is 404134559. The reversal of 404134556 is 655431404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404134559) 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 23 ways as a sum of consecutive naturals, for example, 1572380 + ... + 1572636.

It is an arithmetic number, because the mean of its divisors is an integer number (11735388).

Almost surely, 2404134556 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 404134556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422473968).

404134556 is an abundant number, since it is smaller than the sum of its proper divisors (440813380).

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

404134556 is a wasteful number, since it uses less digits than its factorization.

404134556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 32.

The square root of 404134556 is about 20103.0981691878. The cubic root of 404134556 is about 739.3362419140.

The spelling of 404134556 in words is "four hundred four million, one hundred thirty-four thousand, five hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 71 98 113 142 196 226 257 284 452 497 514 791 994 1028 1582 1799 1988 3164 3479 3598 5537 6958 7196 8023 11074 12593 13916 16046 18247 22148 25186 29041 32092 36494 50372 56161 58082 72988 112322 116164 127729 203287 224644 255458 393127 406574 510916 786254 813148 894103 1423009 1572508 1788206 2061911 2846018 3576412 4123822 5692036 8247644 14433377 28866754 57733508 101033639 202067278 404134556