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427083608 = 23727971367
BaseRepresentation
bin11001011101001…
…100011101011000
31002202122002120102
4121131030131120
51333313133413
6110213514532
713404102500
oct3135143530
91082562512
10427083608
111aa094266
12bb042a48
136a634cc3
1440a14a00
1527763458
hex1974c758

427083608 has 48 divisors (see below), whose sum is σ = 933372720. Its totient is φ = 182672448.

The previous prime is 427083599. The next prime is 427083647. The reversal of 427083608 is 806380724.

It is a super-3 number, since 3×4270836083 (a number of 27 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311741 + ... + 313107.

It is an arithmetic number, because the mean of its divisors is an integer number (19445265).

Almost surely, 2427083608 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 427083608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466686360).

427083608 is an abundant number, since it is smaller than the sum of its proper divisors (506289112).

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

427083608 is a wasteful number, since it uses less digits than its factorization.

427083608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2184 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 427083608 is about 20666.0012581051. The cubic root of 427083608 is about 753.0739662807.

It can be divided in two parts, 4270 and 83608, that added together give a palindrome (87878).

The spelling of 427083608 in words is "four hundred twenty-seven million, eighty-three thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 797 1367 1594 2734 3188 5468 5579 6376 9569 10936 11158 19138 22316 38276 39053 44632 66983 76552 78106 133966 156212 267932 312424 535864 1089499 2178998 4357996 7626493 8715992 15252986 30505972 53385451 61011944 106770902 213541804 427083608