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1242573048 = 233410318617
BaseRepresentation
bin100101000010000…
…0010100011111000
310012121010020210000
41022010002203320
510021044314143
6323144353000
742535460643
oct11204024370
93177106700
101242573048
11588444582
122a8175760
1316a57c232
14bb052a5a
1574149bd3
hex4a1028f8

1242573048 has 80 divisors (see below), whose sum is σ = 3514333680. Its totient is φ = 410147712.

The previous prime is 1242573029. The next prime is 1242573049. The reversal of 1242573048 is 8403752421.

It is a happy number.

1242573048 is a `hidden beast` number, since 1 + 2 + 42 + 573 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1242573049) 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 19 ways as a sum of consecutive naturals, for example, 57436 + ... + 76052.

It is an arithmetic number, because the mean of its divisors is an integer number (43929171).

Almost surely, 21242573048 is an apocalyptic number.

1242573048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1242573048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757166840).

1242573048 is an abundant number, since it is smaller than the sum of its proper divisors (2271760632).

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

1242573048 is a wasteful number, since it uses less digits than its factorization.

1242573048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18738 (or 18725 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1242573048 is about 35250.1496167038. The cubic root of 1242573048 is about 1075.0796545988.

The spelling of 1242573048 in words is "one billion, two hundred forty-two million, five hundred seventy-three thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 309 324 412 618 648 824 927 1236 1854 2472 2781 3708 5562 7416 8343 11124 16686 18617 22248 33372 37234 55851 66744 74468 111702 148936 167553 223404 335106 446808 502659 670212 1005318 1340424 1507977 1917551 2010636 3015954 3835102 4021272 5752653 6031908 7670204 11505306 12063816 15340408 17257959 23010612 34515918 46021224 51773877 69031836 103547754 138063672 155321631 207095508 310643262 414191016 621286524 1242573048