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4252526642 = 2721317414789
BaseRepresentation
bin1111110101111000…
…0110100000110010
3101222100212201212202
43331132012200302
532202121323032
61541550223202
7210244610600
oct37536064062
911870781782
104252526642
111892493231
129a81b4b02
1352a03a170
142c4aca870
1519d507d62
hexfd786832

4252526642 has 96 divisors (see below), whose sum is σ = 8669248560. Its totient is φ = 1544417280.

The previous prime is 4252526639. The next prime is 4252526647. The reversal of 4252526642 is 2466252524.

It can be written as a sum of positive squares in 8 ways, for example, as 161772961 + 4090753681 = 12719^2 + 63959^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4252526596 and 4252526605.

It is not an unprimeable number, because it can be changed into a prime (4252526647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 885584 + ... + 890372.

Almost surely, 24252526642 is an apocalyptic number.

4252526642 is an abundant number, since it is smaller than the sum of its proper divisors (4416721918).

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

4252526642 is a wasteful number, since it uses less digits than its factorization.

4252526642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4876 (or 4869 counting only the distinct ones).

The product of its digits is 230400, while the sum is 38.

The square root of 4252526642 is about 65211.3996322729. The cubic root of 4252526642 is about 1620.1268307448.

The spelling of 4252526642 in words is "four billion, two hundred fifty-two million, five hundred twenty-six thousand, six hundred forty-two".

Divisors: 1 2 7 13 14 17 26 34 41 49 82 91 98 119 182 221 238 287 442 533 574 637 697 833 1066 1274 1394 1547 1666 2009 3094 3731 4018 4789 4879 7462 9061 9578 9758 10829 18122 21658 26117 33523 34153 52234 62257 63427 67046 68306 81413 124514 126854 162826 196349 234661 392698 435799 443989 469322 569891 871598 887978 1058369 1139782 1374443 2116738 2552537 2748886 3050593 3337933 3989237 5105074 6101186 6675866 7408583 7978474 9621101 14817166 17867759 19242202 23365531 35735518 43393129 46731062 51860081 86786258 103720162 125074313 163558717 250148626 303751903 327117434 607503806 2126263321 4252526642