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612349296 = 243131277727
BaseRepresentation
bin100100011111111…
…011010101110000
31120200020120022120
4210133323111300
52223230134141
6140432434240
721113611626
oct4437732560
91520216276
10612349296
112947230a9
121510a8980
1399b30880
145b47d516
1538b5bc66
hex247fb570

612349296 has 80 divisors (see below), whose sum is σ = 1717223424. Its totient is φ = 186907392.

The previous prime is 612349291. The next prime is 612349301. The reversal of 612349296 is 692943216.

It is an interprime number because it is at equal distance from previous prime (612349291) and next prime (612349301).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (612349291) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75385 + ... + 83111.

Almost surely, 2612349296 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 612349296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858611712).

612349296 is an abundant number, since it is smaller than the sum of its proper divisors (1104874128).

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

612349296 is a wasteful number, since it uses less digits than its factorization.

612349296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7878 (or 7872 counting only the distinct ones).

The product of its digits is 139968, while the sum is 42.

The square root of 612349296 is about 24745.6924736407. The cubic root of 612349296 is about 849.1799685351.

The spelling of 612349296 in words is "six hundred twelve million, three hundred forty-nine thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 127 156 208 254 312 381 508 624 762 1016 1524 1651 2032 3048 3302 4953 6096 6604 7727 9906 13208 15454 19812 23181 26416 30908 39624 46362 61816 79248 92724 100451 123632 185448 200902 301353 370896 401804 602706 803608 981329 1205412 1607216 1962658 2410824 2943987 3925316 4821648 5887974 7850632 11775948 12757277 15701264 23551896 25514554 38271831 47103792 51029108 76543662 102058216 153087324 204116432 306174648 612349296