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616430490 = 2351319412029
BaseRepresentation
bin100100101111011…
…111101110011010
31120221220220122220
4210233133232122
52230301233430
6141100124510
721163400304
oct4457375632
91527826586
10616430490
11296a60395
12152536736
139a92c390
145bc22974
15391b6110
hex24bdfb9a

616430490 has 128 divisors (see below), whose sum is σ = 1718841600. Its totient is φ = 140175360.

The previous prime is 616430483. The next prime is 616430497. The reversal of 616430490 is 94034616.

It is an interprime number because it is at equal distance from previous prime (616430483) and next prime (616430497).

It is not an unprimeable number, because it can be changed into a prime (616430497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302796 + ... + 304824.

It is an arithmetic number, because the mean of its divisors is an integer number (13428450).

Almost surely, 2616430490 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 616430490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (859420800).

616430490 is an abundant number, since it is smaller than the sum of its proper divisors (1102411110).

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

616430490 is a wasteful number, since it uses less digits than its factorization.

616430490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2112.

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 616430490 is about 24828.0182455225. The cubic root of 616430490 is about 851.0623349409.

The spelling of 616430490 in words is "six hundred sixteen million, four hundred thirty thousand, four hundred ninety".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 41 57 65 78 82 95 114 123 130 190 195 205 246 247 285 390 410 494 533 570 615 741 779 1066 1230 1235 1482 1558 1599 2029 2337 2470 2665 3198 3705 3895 4058 4674 5330 6087 7410 7790 7995 10127 10145 11685 12174 15990 20254 20290 23370 26377 30381 30435 38551 50635 52754 60762 60870 77102 79131 83189 101270 115653 131885 151905 158262 166378 192755 231306 249567 263770 303810 385510 395655 415945 499134 501163 578265 791310 831890 1002326 1081457 1156530 1247835 1503489 1580591 2162914 2495670 2505815 3006978 3161182 3244371 4741773 5011630 5407285 6488742 7517445 7902955 9483546 10814570 15034890 15805910 16221855 20547683 23708865 32443710 41095366 47417730 61643049 102738415 123286098 205476830 308215245 616430490