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427089920 = 213510427
BaseRepresentation
bin11001011101001…
…110000000000000
31002202122102020012
4121131032000000
51333313334140
6110214004052
713404130055
oct3135160000
91082572205
10427089920
111aa098a84
12bb046628
136a637b3a
1440a1702c
1527765265
hex1974e000

427089920 has 56 divisors (see below), whose sum is σ = 1025051544. Its totient is φ = 170819584.

The previous prime is 427089919. The next prime is 427090003. The reversal of 427089920 is 29980724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35747 + ... + 46173.

Almost surely, 2427089920 is an apocalyptic number.

427089920 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 427089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512525772).

427089920 is an abundant number, since it is smaller than the sum of its proper divisors (597961624).

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

427089920 is an equidigital number, since it uses as much as digits as its factorization.

427089920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10458 (or 10434 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 427089920 is about 20666.1539721352. The cubic root of 427089920 is about 753.0776762330.

The spelling of 427089920 in words is "four hundred twenty-seven million, eighty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 10427 20480 20854 40960 41708 52135 83416 104270 166832 208540 333664 417080 667328 834160 1334656 1668320 2669312 3336640 5338624 6673280 10677248 13346560 21354496 26693120 42708992 53386240 85417984 106772480 213544960 427089920