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427238460 = 2232511474591
BaseRepresentation
bin11001011101110…
…010010000111100
31002202220221222200
4121131302100330
51333333112320
6110221111500
713405316115
oct3135622074
91082827880
10427238460
111aa18a640
12bb0b8590
136a68a62c
1440a5520c
1527794290
hex1977243c

427238460 has 144 divisors (see below), whose sum is σ = 1444165632. Its totient is φ = 101347200.

The previous prime is 427238447. The next prime is 427238467. The reversal of 427238460 is 64832724.

427238460 is a `hidden beast` number, since 4 + 272 + 384 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427238467) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 90765 + ... + 95355.

It is an arithmetic number, because the mean of its divisors is an integer number (10028928).

Almost surely, 2427238460 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 427238460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722082816).

427238460 is an abundant number, since it is smaller than the sum of its proper divisors (1016927172).

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

427238460 is a wasteful number, since it uses less digits than its factorization.

427238460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4664 (or 4659 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 427238460 is about 20669.7474585443. The cubic root of 427238460 is about 753.1649718172.

The spelling of 427238460 in words is "four hundred twenty-seven million, two hundred thirty-eight thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 47 55 60 66 90 94 99 110 132 141 165 180 188 198 220 235 282 330 396 423 470 495 517 564 660 705 846 940 990 1034 1410 1551 1692 1980 2068 2115 2585 2820 3102 4230 4591 4653 5170 6204 7755 8460 9182 9306 10340 13773 15510 18364 18612 22955 23265 27546 31020 41319 45910 46530 50501 55092 68865 82638 91820 93060 101002 137730 151503 165276 202004 206595 215777 252505 275460 303006 413190 431554 454509 505010 606012 647331 757515 826380 863108 909018 1010020 1078885 1294662 1515030 1818036 1941993 2157770 2272545 2373547 2589324 3030060 3236655 3883986 4315540 4545090 4747094 6473310 7120641 7767972 9090180 9494188 9709965 11867735 12946620 14241282 19419930 21361923 23735470 28482564 35603205 38839860 42723846 47470940 71206410 85447692 106809615 142412820 213619230 427238460