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1445527552 = 216723137
BaseRepresentation
bin101011000101001…
…0000000000000000
310201202000102000111
41112022100000000
510430023340202
6355234401104
750551532020
oct12612200000
93652012014
101445527552
11681a65277
12344130194
131a062c261
14d9da3a80
1586d896d7
hex56290000

1445527552 has 136 divisors (see below), whose sum is σ = 3472857216. Its totient is φ = 588251136.

The previous prime is 1445527541. The next prime is 1445527571. The reversal of 1445527552 is 2557255441.

It is a happy number.

It is a super-2 number, since 2×14455275522 = 4179099807182225408, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10551228 + ... + 10551364.

Almost surely, 21445527552 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 1445527552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1736428608).

1445527552 is an abundant number, since it is smaller than the sum of its proper divisors (2027329664).

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

1445527552 is an frugal number, since it uses more digits than its factorization.

1445527552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 169 counting only the distinct ones).

The product of its digits is 280000, while the sum is 40.

The square root of 1445527552 is about 38020.0940556438. The cubic root of 1445527552 is about 1130.6862858033.

The spelling of 1445527552 in words is "one billion, four hundred forty-five million, five hundred twenty-seven thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 56 64 92 112 128 137 161 184 224 256 274 322 368 448 512 548 644 736 896 959 1024 1096 1288 1472 1792 1918 2048 2192 2576 2944 3151 3584 3836 4096 4384 5152 5888 6302 7168 7672 8192 8768 10304 11776 12604 14336 15344 16384 17536 20608 22057 23552 25208 28672 30688 32768 35072 41216 44114 47104 50416 57344 61376 65536 70144 82432 88228 94208 100832 114688 122752 140288 164864 176456 188416 201664 229376 245504 280576 329728 352912 376832 403328 458752 491008 561152 659456 705824 753664 806656 982016 1122304 1318912 1411648 1507328 1613312 1964032 2244608 2637824 2823296 3226624 3928064 4489216 5275648 5646592 6453248 7856128 8978432 10551296 11293184 12906496 15712256 22586368 25812992 31424512 45172736 51625984 62849024 90345472 103251968 180690944 206503936 361381888 722763776 1445527552