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2890126404 = 223211193112391
BaseRepresentation
bin1010110001000011…
…1101010001000100
321110102021122002200
42230100331101010
521404333021104
61154441234500
7131422445334
oct25420752104
97412248080
102890126404
111253445820
12687a92a30
133709c4889
141d5ba50c4
1511daddb39
hexac43d444

2890126404 has 144 divisors (see below), whose sum is σ = 8660520960. Its totient is φ = 802872000.

The previous prime is 2890126391. The next prime is 2890126417. The reversal of 2890126404 is 4046210982.

2890126404 is a `hidden beast` number, since 2 + 8 + 9 + 0 + 1 + 2 + 640 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (2890126391) and next prime (2890126417).

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

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 47 ways as a sum of consecutive naturals, for example, 227049 + ... + 239439.

Almost surely, 22890126404 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 2890126404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4330260480).

2890126404 is an abundant number, since it is smaller than the sum of its proper divisors (5770394556).

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

2890126404 is a wasteful number, since it uses less digits than its factorization.

2890126404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12462 (or 12457 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2890126404 is about 53759.8958704349. The cubic root of 2890126404 is about 1424.4228961376.

The spelling of 2890126404 in words is "two billion, eight hundred ninety million, one hundred twenty-six thousand, four hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 31 33 36 38 44 57 62 66 76 93 99 114 124 132 171 186 198 209 228 279 341 342 372 396 418 558 589 627 682 684 836 1023 1116 1178 1254 1364 1767 1881 2046 2356 2508 3069 3534 3762 4092 5301 6138 6479 7068 7524 10602 12276 12391 12958 19437 21204 24782 25916 37173 38874 49564 58311 74346 77748 111519 116622 136301 148692 223038 233244 235429 272602 384121 408903 446076 470858 545204 706287 768242 817806 941716 1152363 1226709 1412574 1536484 1635612 2118861 2304726 2453418 2589719 2825148 3457089 4225331 4237722 4609452 4906836 5179438 6914178 7298299 7769157 8450662 8475444 10358876 12675993 13828356 14596598 15538314 16901324 21894897 23307471 25351986 29193196 31076628 38027979 43789794 46614942 50703972 65684691 76055958 80281289 87579588 93229884 131369382 152111916 160562578 240843867 262738764 321125156 481687734 722531601 963375468 1445063202 2890126404