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427503408 = 243113269293
BaseRepresentation
bin11001011110110…
…010111100110000
31002210102102102120
4121132302330300
51333420102113
6110230514240
713410501423
oct3136627460
91083372376
10427503408
111aa350702
12bb205980
136a7510c7
1440ac39ba
15277e7a23
hex197b2f30

427503408 has 80 divisors (see below), whose sum is σ = 1122115680. Its totient is φ = 140234752.

The previous prime is 427503379. The next prime is 427503409. The reversal of 427503408 is 804305724.

It is a super-2 number, since 2×4275034082 = 365518327703228928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (427503409) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1458910 + ... + 1459202.

It is an arithmetic number, because the mean of its divisors is an integer number (14026446).

Almost surely, 2427503408 is an apocalyptic number.

427503408 is a gapful number since it is divisible by the number (48) 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 427503408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561057840).

427503408 is an abundant number, since it is smaller than the sum of its proper divisors (694612272).

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

427503408 is a wasteful number, since it uses less digits than its factorization.

427503408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 33.

The square root of 427503408 is about 20676.1555420731. The cubic root of 427503408 is about 753.3206290876.

The spelling of 427503408 in words is "four hundred twenty-seven million, five hundred three thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 269 293 339 452 538 586 678 807 879 904 1076 1172 1356 1614 1758 1808 2152 2344 2712 3228 3516 4304 4688 5424 6456 7032 12912 14064 30397 33109 60794 66218 78817 91191 99327 121588 132436 157634 182382 198654 236451 243176 264872 315268 364764 397308 472902 486352 529744 630536 729528 794616 945804 1261072 1459056 1589232 1891608 3783216 8906321 17812642 26718963 35625284 53437926 71250568 106875852 142501136 213751704 427503408