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1036389249 = 3474732
BaseRepresentation
bin111101110001100…
…000101110000001
32200020011000210000
4331301200232001
54110303423444
6250501230213
734453110000
oct7561405601
92606130700
101036389249
11492018645
1224b102369
1313693b39c
149b900c37
1560ebd469
hex3dc60b81

1036389249 has 75 divisors (see below), whose sum is σ = 1831190163. Its totient is φ = 584109792.

The previous prime is 1036389239. The next prime is 1036389253. The reversal of 1036389249 is 9429836301.

It is a happy number.

The square root of 1036389249 is 32193.

It is a perfect power (a square), and thus also a powerful number.

1036389249 is a `hidden beast` number, since 1 + 0 + 3 + 638 + 9 + 2 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 588305025 + 448084224 = 24255^2 + 21168^2 .

It is not a de Polignac number, because 1036389249 - 25 = 1036389217 is a prime.

It is a super-3 number, since 3×10363892493 (a number of 28 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1036389209) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 14197077 + ... + 14197149.

Almost surely, 21036389249 is an apocalyptic number.

1036389249 is the 32193-rd square number.

1036389249 is the 16097-th centered octagonal number.

It is an amenable number.

1036389249 is a deficient number, since it is larger than the sum of its proper divisors (794800914).

1036389249 is an frugal number, since it uses more digits than its factorization.

1036389249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The cubic root of 1036389249 is about 1011.9855229876.

The spelling of 1036389249 in words is "one billion, thirty-six million, three hundred eighty-nine thousand, two hundred forty-nine".

Divisors: 1 3 7 9 21 27 49 63 73 81 147 189 219 343 441 511 567 657 1029 1323 1533 1971 2401 3087 3577 3969 4599 5329 5913 7203 9261 10731 13797 15987 21609 25039 27783 32193 37303 41391 47961 64827 75117 96579 111909 143883 175273 194481 225351 261121 289737 335727 431649 525819 676053 783363 1007181 1577457 1827847 2028159 2350089 3021543 4732371 5483541 7050267 12794929 14197113 16450623 21150801 38384787 49351869 115154361 148055607 345463083 1036389249