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617197042 = 272112233173
BaseRepresentation
bin100100110010011…
…010110111110010
31121000100212011201
4210302122313302
52231000301132
6141124401414
721203042200
oct4462326762
91530325151
10617197042
11297434300
1215284626a
139ab3a267
145bd82070
15392b82e7
hex24c9adf2

617197042 has 144 divisors (see below), whose sum is σ = 1292530176. Its totient is φ = 219542400.

The previous prime is 617197039. The next prime is 617197051. The reversal of 617197042 is 240791716.

It is a junction number, because it is equal to n+sod(n) for n = 617196992 and 617197010.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8454718 + ... + 8454790.

It is an arithmetic number, because the mean of its divisors is an integer number (8975904).

Almost surely, 2617197042 is an apocalyptic number.

617197042 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

617197042 is an abundant number, since it is smaller than the sum of its proper divisors (675333134).

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

617197042 is a wasteful number, since it uses less digits than its factorization.

617197042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 37.

The square root of 617197042 is about 24843.4506862473. The cubic root of 617197042 is about 851.4149636704.

The spelling of 617197042 in words is "six hundred seventeen million, one hundred ninety-seven thousand, forty-two".

Divisors: 1 2 7 11 14 22 23 31 46 49 62 73 77 98 121 146 154 161 217 242 253 322 341 434 506 511 539 682 713 803 847 1022 1078 1127 1426 1519 1606 1679 1694 1771 2254 2263 2387 2783 3038 3358 3542 3577 3751 4526 4774 4991 5566 5621 5929 7154 7502 7843 8833 9982 11242 11753 11858 12397 15686 15841 16709 17666 18469 19481 23506 24794 24893 26257 31682 33418 34937 36938 38962 39347 49786 52049 52514 54901 61831 69874 78694 82271 86273 104098 109802 110887 123662 129283 136367 164542 172546 174251 183799 203159 221774 258566 272734 273823 348502 364343 367598 384307 406318 432817 547646 572539 603911 728686 768614 865634 904981 1145078 1207822 1219757 1422113 1809962 1916761 2439514 2550401 2844226 3833522 4007773 4227377 5100802 6297929 8015546 8454754 9954791 12595858 13417327 19909582 26834654 28054411 44085503 56108822 88171006 308598521 617197042