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427271880 = 233571729921
BaseRepresentation
bin11001011101111…
…010011011001000
31002202222122211110
4121131322123020
51333340200010
6110221530320
713405515420
oct3135723310
91082878743
10427271880
111aa202762
12bb1139a0
136a69c8c9
1440a63480
152779e120
hex1977a6c8

427271880 has 128 divisors (see below), whose sum is σ = 1551156480. Its totient is φ = 91914240.

The previous prime is 427271869. The next prime is 427271891. The reversal of 427271880 is 88172724.

It is an interprime number because it is at equal distance from previous prime (427271869) and next prime (427271891).

It is a super-2 number, since 2×4272718802 = 365122518877468800, which contains 22 as substring.

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, 681 + ... + 29240.

It is an arithmetic number, because the mean of its divisors is an integer number (12118410).

Almost surely, 2427271880 is an apocalyptic number.

427271880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427271880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (775578240).

427271880 is an abundant number, since it is smaller than the sum of its proper divisors (1123884600).

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

427271880 is a wasteful number, since it uses less digits than its factorization.

427271880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29959 (or 29955 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The square root of 427271880 is about 20670.5558706098. Note that the first 3 decimals coincide. The cubic root of 427271880 is about 753.1846096537.

The spelling of 427271880 in words is "four hundred twenty-seven million, two hundred seventy-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 17 20 21 24 28 30 34 35 40 42 51 56 60 68 70 84 85 102 105 119 120 136 140 168 170 204 210 238 255 280 340 357 408 420 476 510 595 680 714 840 952 1020 1190 1428 1785 2040 2380 2856 3570 4760 7140 14280 29921 59842 89763 119684 149605 179526 209447 239368 299210 359052 418894 448815 508657 598420 628341 718104 837788 897630 1017314 1047235 1196840 1256682 1525971 1675576 1795260 2034628 2094470 2513364 2543285 3051942 3141705 3560599 3590520 4069256 4188940 5026728 5086570 6103884 6283410 7121198 7629855 8377880 10173140 10681797 12207768 12566820 14242396 15259710 17802995 20346280 21363594 25133640 28484792 30519420 35605990 42727188 53408985 61038840 71211980 85454376 106817970 142423960 213635940 427271880