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616105242 = 232330110369
BaseRepresentation
bin100100101110010…
…000010100011010
31120221022101111200
4210232100110122
52230210331432
6141045135030
721160544124
oct4456202432
91527271450
10616105242
11296858a95
121523ba476
139a84731c
145bb7a214
153914ea7c
hex24b9051a

616105242 has 24 divisors (see below), whose sum is σ = 1335427860. Its totient is φ = 205286400.

The previous prime is 616105223. The next prime is 616105271. The reversal of 616105242 is 242501616.

616105242 is a `hidden beast` number, since 6 + 1 + 610 + 5 + 2 + 42 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 508547601 + 107557641 = 22551^2 + 10371^2 .

It is a super-3 number, since 3×6161052423 (a number of 27 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 54234 + ... + 64602.

Almost surely, 2616105242 is an apocalyptic number.

616105242 is an abundant number, since it is smaller than the sum of its proper divisors (719322618).

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

616105242 is a wasteful number, since it uses less digits than its factorization.

616105242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13678 (or 13675 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 616105242 is about 24821.4673619430. The cubic root of 616105242 is about 850.9126262417.

Adding to 616105242 its reverse (242501616), we get a palindrome (858606858).

The spelling of 616105242 in words is "six hundred sixteen million, one hundred five thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 3301 6602 9903 10369 19806 20738 29709 31107 59418 62214 93321 186642 34228069 68456138 102684207 205368414 308052621 616105242