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404885952 = 263483941
BaseRepresentation
bin11000001000100…
…001000111000000
31001012212100010000
4120020201013000
51312122322302
6104102040000
713014321342
oct3010410700
91035770100
10404885952
11198602899
12b3719000
1365b624b3
143bab7292
152582b31c
hex182211c0

404885952 has 140 divisors (see below), whose sum is σ = 1215959976. Its totient is φ = 133194240.

The previous prime is 404885939. The next prime is 404885963. The reversal of 404885952 is 259588404.

It is a junction number, because it is equal to n+sod(n) for n = 404885898 and 404885907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 429802 + ... + 430742.

Almost surely, 2404885952 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 404885952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607979988).

404885952 is an abundant number, since it is smaller than the sum of its proper divisors (811074024).

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

404885952 is an equidigital number, since it uses as much as digits as its factorization.

404885952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1029 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The square root of 404885952 is about 20121.7780526473. The cubic root of 404885952 is about 739.7941672472.

It can be divided in two parts, 4048 and 85952, that added together give a square (90000 = 3002).

The spelling of 404885952 in words is "four hundred four million, eight hundred eighty-five thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 83 96 108 144 162 166 192 216 249 288 324 332 432 498 576 648 664 747 864 941 996 1296 1328 1494 1728 1882 1992 2241 2592 2656 2823 2988 3764 3984 4482 5184 5312 5646 5976 6723 7528 7968 8469 8964 11292 11952 13446 15056 15936 16938 17928 22584 23904 25407 26892 30112 33876 35856 45168 47808 50814 53784 60224 67752 71712 76221 78103 90336 101628 107568 135504 143424 152442 156206 180672 203256 215136 234309 271008 304884 312412 406512 430272 468618 542016 609768 624824 702927 813024 937236 1219536 1249648 1405854 1626048 1874472 2108781 2439072 2499296 2811708 3748944 4217562 4878144 4998592 5623416 6326343 7497888 8435124 11246832 12652686 14995776 16870248 22493664 25305372 33740496 44987328 50610744 67480992 101221488 134961984 202442976 404885952