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8412300450 = 2325253521677
BaseRepresentation
bin1111101010110100…
…11000010010100010
3210201021020010210100
413311122120102202
5114212022103300
63510424443230
7415315242201
oct76532302242
923637203710
108412300450
113627584924
121769319516
13a40aa0398
1459b351238
153437dd700
hex1f56984a2

8412300450 has 144 divisors (see below), whose sum is σ = 23105759976. Its totient is φ = 2193484800.

The previous prime is 8412300431. The next prime is 8412300469. The reversal of 8412300450 is 540032148.

It is an interprime number because it is at equal distance from previous prime (8412300431) and next prime (8412300469).

It can be written as a sum of positive squares in 12 ways, for example, as 2755305081 + 5656995369 = 52491^2 + 75213^2 .

It is a super-2 number, since 2×84123004502 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12425512 + ... + 12426188.

Almost surely, 28412300450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8412300450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11552879988).

8412300450 is an abundant number, since it is smaller than the sum of its proper divisors (14693459526).

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

8412300450 is a wasteful number, since it uses less digits than its factorization.

8412300450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1269 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 8412300450 is about 91718.5938073627. The cubic root of 8412300450 is about 2033.7844624450.

Adding to 8412300450 its reverse (540032148), we get a palindrome (8952332598).

The spelling of 8412300450 in words is "eight billion, four hundred twelve million, three hundred thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 53 75 90 106 150 159 225 265 318 450 477 521 530 677 795 954 1042 1325 1354 1563 1590 2031 2385 2605 2650 3126 3385 3975 4062 4689 4770 5210 6093 6770 7815 7950 9378 10155 11925 12186 13025 15630 16925 20310 23445 23850 26050 27613 30465 33850 35881 39075 46890 50775 55226 60930 71762 78150 82839 101550 107643 117225 138065 152325 165678 179405 215286 234450 248517 276130 304650 322929 352717 358810 414195 497034 538215 645858 690325 705434 828390 897025 1058151 1076430 1242585 1380650 1614645 1763585 1794050 2070975 2116302 2485170 2691075 3174453 3229290 3527170 4141950 5290755 5382150 6212925 6348906 8073225 8817925 10581510 12425850 15872265 16146450 17635850 18694001 26453775 31744530 37388002 52907550 56082003 79361325 93470005 112164006 158722650 168246009 186940010 280410015 336492018 467350025 560820030 841230045 934700050 1402050075 1682460090 2804100150 4206150225 8412300450