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1252442520 = 233357165667
BaseRepresentation
bin100101010100110…
…1100000110011000
310020021200200011000
41022221230012120
510031111130040
6324140105000
743015404630
oct11251540630
93207620130
101252442520
11592a7566a
122ab535160
1316c626564
14bc4a16c0
1574e49130
hex4aa6c198

1252442520 has 128 divisors (see below), whose sum is σ = 4771238400. Its totient is φ = 286270848.

The previous prime is 1252442509. The next prime is 1252442533. The reversal of 1252442520 is 252442521.

It is a super-2 number, since 2×12524425202 = 3137224531807900800, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75274 + ... + 90393.

It is an arithmetic number, because the mean of its divisors is an integer number (37275300).

Almost surely, 21252442520 is an apocalyptic number.

1252442520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1252442520 is an abundant number, since it is smaller than the sum of its proper divisors (3518795880).

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

1252442520 is a wasteful number, since it uses less digits than its factorization.

1252442520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165694 (or 165684 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 1252442520 is about 35389.8646507725. The cubic root of 1252442520 is about 1077.9185218197.

Subtracting from 1252442520 its reverse (252442521), we obtain a palindrome (999999999).

The spelling of 1252442520 in words is "one billion, two hundred fifty-two million, four hundred forty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 27 28 30 35 36 40 42 45 54 56 60 63 70 72 84 90 105 108 120 126 135 140 168 180 189 210 216 252 270 280 315 360 378 420 504 540 630 756 840 945 1080 1260 1512 1890 2520 3780 7560 165667 331334 497001 662668 828335 994002 1159669 1325336 1491003 1656670 1988004 2319338 2485005 2982006 3313340 3479007 3976008 4473009 4638676 4970010 5798345 5964012 6626680 6958014 7455015 8946018 9277352 9940020 10437021 11596690 11928024 13916028 14910030 17395035 17892036 19880040 20874042 22365045 23193380 27832056 29820060 31311063 34790070 35784072 41748084 44730090 46386760 52185105 59640120 62622126 69580140 83496168 89460180 104370210 125244252 139160280 156555315 178920360 208740420 250488504 313110630 417480840 626221260 1252442520