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427688180 = 22537577957
BaseRepresentation
bin11001011111100…
…000000011110100
31002210202210212222
4121133200003310
51333442010210
6110234501512
713412201213
oct3137400364
91083683788
10427688180
111aa467507
12bb294898
136a7b723a
1440b3107a
1527832655
hex197e00f4

427688180 has 24 divisors (see below), whose sum is σ = 922420968. Its totient is φ = 166451328.

The previous prime is 427688171. The next prime is 427688189. The reversal of 427688180 is 81886724.

It is an interprime number because it is at equal distance from previous prime (427688171) and next prime (427688189).

It can be written as a sum of positive squares in 4 ways, for example, as 12588304 + 415099876 = 3548^2 + 20374^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (427688189) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 288239 + ... + 289718.

It is an arithmetic number, because the mean of its divisors is an integer number (38434207).

Almost surely, 2427688180 is an apocalyptic number.

It is an amenable number.

427688180 is an abundant number, since it is smaller than the sum of its proper divisors (494732788).

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

427688180 is a wasteful number, since it uses less digits than its factorization.

427688180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578003 (or 578001 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 44.

The square root of 427688180 is about 20680.6232981504. The cubic root of 427688180 is about 753.4291448000.

The spelling of 427688180 in words is "four hundred twenty-seven million, six hundred eighty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 37 74 148 185 370 740 577957 1155914 2311828 2889785 5779570 11559140 21384409 42768818 85537636 106922045 213844090 427688180