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1125652528 = 2471113671049
BaseRepresentation
bin100001100011000…
…0001100000110000
32220110010001222101
41003012001200300
54301131340103
6303410350144
736615613540
oct10306014060
92813101871
101125652528
11528446450
12274b8b354
1314c292bb0
14a96d9320
1568c51a1d
hex43181830

1125652528 has 160 divisors (see below), whose sum is σ = 2974809600. Its totient is φ = 398407680.

The previous prime is 1125652523. The next prime is 1125652529. The reversal of 1125652528 is 8252565211.

It is a super-2 number, since 2×11256525282 = 2534187227585581568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1125652523) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1072548 + ... + 1073596.

It is an arithmetic number, because the mean of its divisors is an integer number (18592560).

Almost surely, 21125652528 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 1125652528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487404800).

1125652528 is an abundant number, since it is smaller than the sum of its proper divisors (1849157072).

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

1125652528 is a wasteful number, since it uses less digits than its factorization.

1125652528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1149 counting only the distinct ones).

The product of its digits is 48000, while the sum is 37.

The square root of 1125652528 is about 33550.7455654863. The cubic root of 1125652528 is about 1040.2429560587.

The spelling of 1125652528 in words is "one billion, one hundred twenty-five million, six hundred fifty-two thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 52 56 67 77 88 91 104 112 134 143 154 176 182 208 268 286 308 364 469 536 572 616 728 737 871 938 1001 1049 1072 1144 1232 1456 1474 1742 1876 2002 2098 2288 2948 3484 3752 4004 4196 5159 5896 6097 6968 7343 7504 8008 8392 9581 10318 11539 11792 12194 13637 13936 14686 16016 16784 19162 20636 23078 24388 27274 29372 38324 41272 46156 48776 54548 58744 67067 70283 76648 80773 82544 92312 95459 97552 109096 117488 134134 140566 150007 153296 161546 184624 190918 218192 268268 281132 300014 323092 381836 491981 536536 562264 600028 646184 763672 773113 913679 983962 1050049 1073072 1124528 1200056 1292368 1527344 1546226 1827358 1967924 2100098 2400112 3092452 3654716 3935848 4200196 5411791 6184904 6395753 7309432 7871696 8400392 10050469 10823582 12369808 12791506 14618864 16800784 20100938 21647164 25583012 40201876 43294328 51166024 70353283 80403752 86588656 102332048 140706566 160807504 281413132 562826264 1125652528