Search a number
-
+
612242848 = 25723761173
BaseRepresentation
bin100100011111100…
…001010110100000
31120200001011022001
4210133201112200
52223213232343
6140430253344
721112656400
oct4437412640
91520034261
10612242848
11294660128
12151057254
1399ac4299
145b452800
1538b3a44d
hex247e15a0

612242848 has 144 divisors (see below), whose sum is σ = 1472108904. Its totient is φ = 249661440.

The previous prime is 612242843. The next prime is 612242849. The reversal of 612242848 is 848242216.

It can be written as a sum of positive squares in 4 ways, for example, as 581195664 + 31047184 = 24108^2 + 5572^2 .

It is a super-2 number, since 2×6122428482 = 749682609854302208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (612242843) 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 23 ways as a sum of consecutive naturals, for example, 3538890 + ... + 3539062.

Almost surely, 2612242848 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 612242848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736054452).

612242848 is an abundant number, since it is smaller than the sum of its proper divisors (859866056).

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

612242848 is a wasteful number, since it uses less digits than its factorization.

612242848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295 (or 280 counting only the distinct ones).

The product of its digits is 49152, while the sum is 37.

The square root of 612242848 is about 24743.5415411780. The cubic root of 612242848 is about 849.1307598301.

The spelling of 612242848 in words is "six hundred twelve million, two hundred forty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 37 49 56 61 74 98 112 122 148 173 196 224 244 259 296 346 392 427 488 518 592 692 784 854 976 1036 1184 1211 1384 1568 1708 1813 1952 2072 2257 2422 2768 2989 3416 3626 4144 4514 4844 5536 5978 6401 6832 7252 8288 8477 9028 9688 10553 11956 12802 13664 14504 15799 16954 18056 19376 21106 23912 25604 29008 31598 33908 36112 38752 42212 44807 47824 51208 58016 63196 67816 72224 73871 84424 89614 95648 102416 110593 126392 135632 147742 168848 179228 204832 221186 252784 271264 295484 313649 337696 358456 390461 442372 505568 517097 590968 627298 716912 780922 884744 1034194 1181936 1254596 1433824 1561844 1769488 2068388 2363872 2509192 2733227 3123688 3538976 4136776 5018384 5466454 6247376 8273552 10036768 10932908 12494752 16547104 19132589 21865816 38265178 43731632 76530356 87463264 153060712 306121424 612242848