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418690712 = 231123316673
BaseRepresentation
bin11000111101001…
…011011010011000
31002011211200200102
4120331023122120
51324141100322
6105313554532
713242545426
oct3075133230
91064750612
10418690712
111a5381590
12b8275a48
1368986aab
143d86c116
1526b56792
hex18f4b698

418690712 has 64 divisors (see below), whose sum is σ = 922613760. Its totient is φ = 176140800.

The previous prime is 418690687. The next prime is 418690721. The reversal of 418690712 is 217096814.

It is a super-3 number, since 3×4186907123 (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 15 ways as a sum of consecutive naturals, for example, 59408 + ... + 66080.

It is an arithmetic number, because the mean of its divisors is an integer number (14415840).

Almost surely, 2418690712 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 418690712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461306880).

418690712 is an abundant number, since it is smaller than the sum of its proper divisors (503923048).

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

418690712 is a wasteful number, since it uses less digits than its factorization.

418690712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6744 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The square root of 418690712 is about 20461.9332419984. The cubic root of 418690712 is about 748.1082468906.

The spelling of 418690712 in words is "four hundred eighteen million, six hundred ninety thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 22 23 31 44 46 62 88 92 124 184 248 253 341 506 682 713 1012 1364 1426 2024 2728 2852 5704 6673 7843 13346 15686 26692 31372 53384 62744 73403 146806 153479 206863 293612 306958 413726 587224 613916 827452 1227832 1654904 1688269 2275493 3376538 4550986 4757849 6753076 9101972 9515698 13506152 18203944 19031396 38062792 52336339 104672678 209345356 418690712