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1052230608 = 2433111317033
BaseRepresentation
bin111110101101111…
…100001111010000
32201022221212001000
4332231330033100
54123332334413
6252224542000
735034545502
oct7655741720
92638855030
101052230608
1149aa58480
12254481900
13139cc6980
149da65d72
156259c073
hex3eb7c3d0

1052230608 has 160 divisors (see below), whose sum is σ = 3548522880. Its totient is φ = 294312960.

The previous prime is 1052230559. The next prime is 1052230637. The reversal of 1052230608 is 8060322501.

1052230608 is a `hidden beast` number, since 1 + 0 + 5 + 22 + 30 + 608 = 666.

It is a super-2 number, since 2×10522306082 = 2214378504824099328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 53260 + ... + 70292.

It is an arithmetic number, because the mean of its divisors is an integer number (22178268).

Almost surely, 21052230608 is an apocalyptic number.

1052230608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1052230608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774261440).

1052230608 is an abundant number, since it is smaller than the sum of its proper divisors (2496292272).

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

1052230608 is a wasteful number, since it uses less digits than its factorization.

1052230608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17074 (or 17062 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1052230608 is about 32438.1042602677. The cubic root of 1052230608 is about 1017.1155880143.

The spelling of 1052230608 in words is "one billion, fifty-two million, two hundred thirty thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 27 33 36 39 44 48 52 54 66 72 78 88 99 104 108 117 132 143 144 156 176 198 208 216 234 264 286 297 312 351 396 429 432 468 528 572 594 624 702 792 858 936 1144 1188 1287 1404 1584 1716 1872 2288 2376 2574 2808 3432 3861 4752 5148 5616 6864 7722 10296 15444 17033 20592 30888 34066 51099 61776 68132 102198 136264 153297 187363 204396 221429 272528 306594 374726 408792 442858 459891 562089 613188 664287 749452 817584 885716 919782 1124178 1226376 1328574 1498904 1686267 1771432 1839564 1992861 2248356 2435719 2452752 2657148 2997808 3372534 3542864 3679128 3985722 4496712 4871438 5058801 5314296 5978583 6745068 7307157 7358256 7971444 8993424 9742876 10117602 10628592 11957166 13490136 14614314 15942888 19485752 20235204 21921471 23914332 26980272 29228628 31885776 38971504 40470408 43842942 47828664 58457256 65764413 80940816 87685884 95657328 116914512 131528826 175371768 263057652 350743536 526115304 1052230608