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1242527744 = 211738311
BaseRepresentation
bin100101000001111…
…0111100000000000
310012121000221122002
41022003313200000
510021041341434
6323143403132
742535211603
oct11203674000
93177027562
101242527744
11588413537
122a81534a8
1316a564723
14bb04033a
157413b57e
hex4a0f7800

1242527744 has 48 divisors (see below), whose sum is σ = 2518785360. Its totient is φ = 612679680.

The previous prime is 1242527731. The next prime is 1242527777. The reversal of 1242527744 is 4477252421.

It is a junction number, because it is equal to n+sod(n) for n = 1242527698 and 1242527707.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 145349 + ... + 153659.

It is an arithmetic number, because the mean of its divisors is an integer number (52474695).

Almost surely, 21242527744 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 1242527744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1259392680).

1242527744 is an abundant number, since it is smaller than the sum of its proper divisors (1276257616).

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

1242527744 is an frugal number, since it uses more digits than its factorization.

1242527744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8406 (or 8386 counting only the distinct ones).

The product of its digits is 125440, while the sum is 38.

The square root of 1242527744 is about 35249.5070036447. The cubic root of 1242527744 is about 1075.0665887002.

The spelling of 1242527744 in words is "one billion, two hundred forty-two million, five hundred twenty-seven thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 32 64 73 128 146 256 292 512 584 1024 1168 2048 2336 4672 8311 9344 16622 18688 33244 37376 66488 74752 132976 149504 265952 531904 606703 1063808 1213406 2127616 2426812 4255232 4853624 8510464 9707248 17020928 19414496 38828992 77657984 155315968 310631936 621263872 1242527744