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404260992 = 27321033407
BaseRepresentation
bin11000000110001…
…000100010000000
31001011200120211100
4120012020202000
51311442322432
6104040414400
713006106322
oct3006104200
91034616740
10404260992
111982162a3
12b3477400
13659a3bb5
143b993612
152575607c
hex18188880

404260992 has 96 divisors (see below), whose sum is σ = 1174942080. Its totient is φ = 133406208.

The previous prime is 404260991. The next prime is 404261023. The reversal of 404260992 is 299062404.

404260992 is a `hidden beast` number, since 4 + 0 + 42 + 609 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is not an unprimeable number, because it can be changed into a prime (404260991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 116953 + ... + 120359.

It is an arithmetic number, because the mean of its divisors is an integer number (12238980).

Almost surely, 2404260992 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 404260992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587471040).

404260992 is an abundant number, since it is smaller than the sum of its proper divisors (770681088).

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

404260992 is a wasteful number, since it uses less digits than its factorization.

404260992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3530 (or 3515 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 404260992 is about 20106.2426126813. The cubic root of 404260992 is about 739.4133358496.

The spelling of 404260992 in words is "four hundred four million, two hundred sixty thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 103 128 144 192 206 288 309 384 412 576 618 824 927 1152 1236 1648 1854 2472 3296 3407 3708 4944 6592 6814 7416 9888 10221 13184 13628 14832 19776 20442 27256 29664 30663 39552 40884 54512 59328 61326 81768 109024 118656 122652 163536 218048 245304 327072 350921 436096 490608 654144 701842 981216 1052763 1308288 1403684 1962432 2105526 2807368 3158289 3924864 4211052 5614736 6316578 8422104 11229472 12633156 16844208 22458944 25266312 33688416 44917888 50532624 67376832 101065248 134753664 202130496 404260992