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642757122 = 232761241347
BaseRepresentation
bin100110010011111…
…011001000000010
31122210110110000100
4212103323020002
52304021211442
6143440303230
721633226320
oct4623731002
91583413010
10642757122
112aa901a37
1215b311b16
13a3219377
1461516d10
153b66684c
hex264fb202

642757122 has 96 divisors (see below), whose sum is σ = 1629074304. Its totient is φ = 179366400.

The previous prime is 642757121. The next prime is 642757153. The reversal of 642757122 is 221757246.

It is a happy number.

642757122 is a `hidden beast` number, since 64 + 2 + 7 + 571 + 22 = 666.

It is a super-3 number, since 3×6427571223 (a number of 27 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (642757121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1852153 + ... + 1852499.

It is an arithmetic number, because the mean of its divisors is an integer number (16969524).

Almost surely, 2642757122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642757122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (814537152).

642757122 is an abundant number, since it is smaller than the sum of its proper divisors (986317182).

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

642757122 is a wasteful number, since it uses less digits than its factorization.

642757122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 661 counting only the distinct ones).

The product of its digits is 47040, while the sum is 36.

The square root of 642757122 is about 25352.6551272248. The cubic root of 642757122 is about 863.0096113743.

The spelling of 642757122 in words is "six hundred forty-two million, seven hundred fifty-seven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 241 347 366 427 482 549 694 723 854 1041 1098 1281 1446 1687 2082 2169 2429 2562 3123 3374 3843 4338 4858 5061 6246 7287 7686 10122 14574 14701 15183 21167 21861 29402 30366 42334 43722 44103 63501 83627 88206 102907 127002 132309 148169 167254 190503 205814 250881 264618 296338 308721 381006 444507 501762 585389 617442 752643 889014 926163 1170778 1333521 1505286 1756167 1852326 2667042 3512334 5101247 5268501 10202494 10537002 15303741 30607482 35708729 45911223 71417458 91822446 107126187 214252374 321378561 642757122