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404045052 = 2231729163419
BaseRepresentation
bin11000000101010…
…011110011111100
31001011021121121120
4120011103303330
51311413420202
6104032030540
713004216625
oct3005236374
91034247546
10404045052
11198089034
12b3392450
1365929818
143b938a4c
15257120bc
hex18153cfc

404045052 has 96 divisors (see below), whose sum is σ = 1041465600. Its totient is φ = 121347072.

The previous prime is 404045027. The next prime is 404045077. The reversal of 404045052 is 250540404.

It is an interprime number because it is at equal distance from previous prime (404045027) and next prime (404045077).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 964099 + ... + 964517.

It is an arithmetic number, because the mean of its divisors is an integer number (10848600).

Almost surely, 2404045052 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 404045052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (520732800).

404045052 is an abundant number, since it is smaller than the sum of its proper divisors (637420548).

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

404045052 is a wasteful number, since it uses less digits than its factorization.

404045052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 404045052 is about 20100.8719213869. The cubic root of 404045052 is about 739.2816574233.

Adding to 404045052 its reverse (250540404), we get a palindrome (654585456).

The spelling of 404045052 in words is "four hundred four million, forty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 163 174 204 326 348 419 489 493 652 838 978 986 1257 1479 1676 1956 1972 2514 2771 2958 4727 5028 5542 5916 7123 8313 9454 11084 12151 14181 14246 16626 18908 21369 24302 28362 28492 33252 36453 42738 48604 56724 68297 72906 80359 85476 136594 145812 160718 204891 206567 241077 273188 321436 409782 413134 482154 619701 819564 826268 964308 1161049 1239402 1980613 2322098 2478804 3483147 3961226 4644196 5941839 6966294 7922452 11883678 13932588 23767356 33670421 67340842 101011263 134681684 202022526 404045052