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1242642632 = 237113754521
BaseRepresentation
bin100101000010001…
…0011100011001000
310012121020210020012
41022010103203020
510021104031012
6323150051052
742536200550
oct11204234310
93177223205
101242642632
11588491890
122a81a9a88
1316a5a4aca
14bb070160
1574160622
hex4a1138c8

1242642632 has 64 divisors (see below), whose sum is σ = 2983443840. Its totient is φ = 471052800.

The previous prime is 1242642631. The next prime is 1242642641. The reversal of 1242642632 is 2362462421.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1242642631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4469 + ... + 50052.

It is an arithmetic number, because the mean of its divisors is an integer number (46616310).

Almost surely, 21242642632 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 1242642632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491721920).

1242642632 is an abundant number, since it is smaller than the sum of its proper divisors (1740801208).

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

1242642632 is a wasteful number, since it uses less digits than its factorization.

1242642632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54582 (or 54578 counting only the distinct ones).

The product of its digits is 27648, while the sum is 32.

The square root of 1242642632 is about 35251.1366057890. The cubic root of 1242642632 is about 1075.0997223516.

The spelling of 1242642632 in words is "one billion, two hundred forty-two million, six hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 22 28 37 44 56 74 77 88 148 154 259 296 308 407 518 616 814 1036 1628 2072 2849 3256 5698 11396 22792 54521 109042 218084 381647 436168 599731 763294 1199462 1526588 2017277 2398924 3053176 4034554 4198117 4797848 8069108 8396234 14120939 16138216 16792468 22190047 28241878 33584936 44380094 56483756 88760188 112967512 155330329 177520376 310660658 621321316 1242642632