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427117460 = 225711535233
BaseRepresentation
bin11001011101010…
…100101110010100
31002202200211000012
4121131110232110
51333320224320
6110214335352
713404303260
oct3135245624
91082624005
10427117460
111aa107740
12bb05a558
136a647533
1440a230a0
152776d4c5
hex19754b94

427117460 has 96 divisors (see below), whose sum is σ = 1139588352. Its totient is φ = 130590720.

The previous prime is 427117441. The next prime is 427117477. The reversal of 427117460 is 64711724.

It is a super-3 number, since 3×4271174603 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79004 + ... + 84236.

It is an arithmetic number, because the mean of its divisors is an integer number (11870712).

Almost surely, 2427117460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427117460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (569794176).

427117460 is an abundant number, since it is smaller than the sum of its proper divisors (712470892).

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

427117460 is a wasteful number, since it uses less digits than its factorization.

427117460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 427117460 is about 20666.8202682464. The cubic root of 427117460 is about 753.0938627646.

The spelling of 427117460 in words is "four hundred twenty-seven million, one hundred seventeen thousand, four hundred sixty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 53 55 70 77 106 110 140 154 212 220 265 308 371 385 530 583 742 770 1060 1166 1484 1540 1855 2332 2915 3710 4081 5233 5830 7420 8162 10466 11660 16324 20405 20932 26165 36631 40810 52330 57563 73262 81620 104660 115126 146524 183155 230252 277349 287815 366310 402941 554698 575630 732620 805882 1109396 1151260 1386745 1611764 1941443 2014705 2773490 3050839 3882886 4029410 5546980 6101678 7765772 8058820 9707215 12203356 15254195 19414430 21355873 30508390 38828860 42711746 61016780 85423492 106779365 213558730 427117460