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1052201436 = 22311132101467
BaseRepresentation
bin111110101101110…
…101000111011100
32201022220101000120
4332231311013130
54123330421221
6252224154540
735034364446
oct7655650734
92638811016
101052201436
1149aa38570
12254468a50
13139cb6600
149da59496
15625935c6
hex3eb751dc

1052201436 has 144 divisors (see below), whose sum is σ = 2935191168. Its totient is φ = 290784000.

The previous prime is 1052201429. The next prime is 1052201441. The reversal of 1052201436 is 6341022501.

It is a super-2 number, since 2×10522014362 = 2214255723840924192, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2252875 + ... + 2253341.

It is an arithmetic number, because the mean of its divisors is an integer number (20383272).

Almost surely, 21052201436 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 1052201436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1467595584).

1052201436 is an abundant number, since it is smaller than the sum of its proper divisors (1882989732).

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

1052201436 is a wasteful number, since it uses less digits than its factorization.

1052201436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 1052201436 is about 32437.6546007876. The cubic root of 1052201436 is about 1017.1061884366.

Adding to 1052201436 its reverse (6341022501), we get a palindrome (7393223937).

The spelling of 1052201436 in words is "one billion, fifty-two million, two hundred one thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 101 132 143 156 169 202 286 303 338 404 429 467 507 572 606 676 858 934 1014 1111 1212 1313 1401 1716 1859 1868 2028 2222 2626 2802 3333 3718 3939 4444 5137 5252 5577 5604 6071 6666 7436 7878 10274 11154 12142 13332 14443 15411 15756 17069 18213 20548 22308 24284 28886 30822 34138 36426 43329 47167 51207 57772 61644 66781 68276 72852 78923 86658 94334 102414 133562 141501 157846 173316 187759 188668 200343 204828 236769 267124 283002 315692 375518 400686 473538 518837 563277 566004 613171 751036 801372 868153 947076 1037674 1126554 1226342 1556511 1736306 1839513 2075348 2253108 2452684 2604459 3113022 3472612 3679026 5208918 6226044 6744881 7358052 7971223 10417836 13489762 15942446 20234643 23913669 26979524 31884892 40469286 47827338 80938572 87683453 95654676 175366906 263050359 350733812 526100718 1052201436