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612240642 = 232134635651
BaseRepresentation
bin100100011111100…
…000110100000010
31120200001001021100
4210133200310002
52223213200032
6140430235230
721112650066
oct4437406402
91520031240
10612240642
11294659502
12151055b16
1399ac3290
145b451aa6
1538b3997c
hex247e0d02

612240642 has 48 divisors (see below), whose sum is σ = 1431900288. Its totient is φ = 187941600.

The previous prime is 612240641. The next prime is 612240647. The reversal of 612240642 is 246042216.

612240642 is a `hidden beast` number, since 6 + 12 + 2 + 4 + 0 + 642 = 666.

It is not an unprimeable number, because it can be changed into a prime (612240641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105517 + ... + 111167.

It is an arithmetic number, because the mean of its divisors is an integer number (29831256).

Almost surely, 2612240642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 612240642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715950144).

612240642 is an abundant number, since it is smaller than the sum of its proper divisors (819659646).

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

612240642 is a wasteful number, since it uses less digits than its factorization.

612240642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6135 (or 6132 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 612240642 is about 24743.4969638489. The cubic root of 612240642 is about 849.1297399816.

Adding to 612240642 its reverse (246042216), we get a palindrome (858282858).

It can be divided in two parts, 6122 and 40642, that added together give a palindrome (46764).

The spelling of 612240642 in words is "six hundred twelve million, two hundred forty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 463 926 1389 2778 4167 5651 6019 8334 11302 12038 16953 18057 33906 36114 50859 54171 73463 101718 108342 146926 220389 440778 661167 1322334 2616413 5232826 7849239 15698478 23547717 34013369 47095434 68026738 102040107 204080214 306120321 612240642