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468799254 = 232711297317
BaseRepresentation
bin11011111100010…
…100111100010110
31012200010110200100
4123330110330112
51430003034004
6114303554530
714421504450
oct3374247426
91180113610
10468799254
11220696900
12110bbba46
137617c711
14463932d0
152b253739
hex1bf14f16

468799254 has 144 divisors (see below), whose sum is σ = 1293181344. Its totient is φ = 120130560.

The previous prime is 468799249. The next prime is 468799273. The reversal of 468799254 is 452997864.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 468799254.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 1478704 + ... + 1479020.

It is an arithmetic number, because the mean of its divisors is an integer number (8980426).

Almost surely, 2468799254 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468799254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (646590672).

468799254 is an abundant number, since it is smaller than the sum of its proper divisors (824382090).

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

468799254 is a wasteful number, since it uses less digits than its factorization.

468799254 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 451 (or 437 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 468799254 is about 21651.7725371388. The cubic root of 468799254 is about 776.8353332920.

The spelling of 468799254 in words is "four hundred sixty-eight million, seven hundred ninety-nine thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 97 99 121 126 154 194 198 231 242 291 317 363 462 582 634 679 693 726 847 873 951 1067 1089 1358 1386 1694 1746 1902 2037 2134 2178 2219 2541 2853 3201 3487 4074 4438 5082 5706 6111 6402 6657 6974 7469 7623 9603 10461 11737 12222 13314 14938 15246 19206 19971 20922 22407 23474 24409 30749 31383 35211 38357 39942 44814 48818 61498 62766 67221 70422 73227 76714 82159 92247 105633 115071 134442 146454 164318 184494 211266 215243 219681 230142 246477 268499 276741 338239 345213 430486 439362 492954 536998 553482 645729 676478 690426 739431 805497 1014717 1291458 1478862 1610994 1937187 2029434 2367673 2416491 3044151 3720629 3874374 4735346 4832982 6088302 7103019 7441258 11161887 14206038 21309057 22323774 26044403 33485661 42618114 52088806 66971322 78133209 156266418 234399627 468799254