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468014274 = 23471353599
BaseRepresentation
bin11011111001010…
…101010011000010
31012121122120220000
4123321111103002
51424302424044
6114235100430
714412025050
oct3371252302
91177576800
10468014274
11220200062
121108a1716
1375c66330
144622b1d0
152b14ad69
hex1be554c2

468014274 has 160 divisors (see below), whose sum is σ = 1317254400. Its totient is φ = 120901248.

The previous prime is 468014273. The next prime is 468014291. The reversal of 468014274 is 472410864.

It is not an unprimeable number, because it can be changed into a prime (468014273) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 781027 + ... + 781625.

It is an arithmetic number, because the mean of its divisors is an integer number (8232840).

Almost surely, 2468014274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468014274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658627200).

468014274 is an abundant number, since it is smaller than the sum of its proper divisors (849240126).

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

468014274 is a wasteful number, since it uses less digits than its factorization.

468014274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 468014274 is about 21633.6375582101. The cubic root of 468014274 is about 776.4015009204.

The spelling of 468014274 in words is "four hundred sixty-eight million, fourteen thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 53 54 63 78 81 91 106 117 126 159 162 182 189 234 273 318 351 371 378 477 546 567 599 689 702 742 819 954 1053 1113 1134 1198 1378 1431 1638 1797 2067 2106 2226 2457 2862 3339 3594 4134 4193 4293 4823 4914 5391 6201 6678 7371 7787 8386 8586 9646 10017 10782 12402 12579 14469 14742 15574 16173 18603 20034 23361 25158 28938 30051 31747 32346 37206 37737 43407 46722 48519 54509 55809 60102 63494 70083 75474 86814 95241 97038 109018 111618 113211 130221 140166 163527 190482 210249 222229 226422 260442 285723 327054 339633 390663 412711 420498 444458 490581 571446 630747 666687 679266 781326 825422 857169 981162 1238133 1261494 1333374 1471743 1714338 2000061 2476266 2571507 2888977 2943486 3714399 4000122 4415229 5143014 5777954 6000183 7428798 8666931 8830458 11143197 12000366 17333862 18000549 22286394 26000793 33429591 36001098 52001586 66859182 78002379 156004758 234007137 468014274