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418664064 = 27371311981
BaseRepresentation
bin11000111101000…
…100111010000000
31002011210100010110
4120331010322000
51324134222224
6105313231320
713242404640
oct3075047200
91064710113
10418664064
111a5363565
12b8262540
1368977920
143d862520
1526b4d929
hex18f44e80

418664064 has 128 divisors (see below), whose sum is σ = 1368823680. Its totient is φ = 110407680.

The previous prime is 418664063. The next prime is 418664111. The reversal of 418664064 is 460466814.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (418664063) 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, 28954 + ... + 40934.

It is an arithmetic number, because the mean of its divisors is an integer number (10693935).

Almost surely, 2418664064 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 418664064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684411840).

418664064 is an abundant number, since it is smaller than the sum of its proper divisors (950159616).

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

418664064 is a wasteful number, since it uses less digits than its factorization.

418664064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12018 (or 12006 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The square root of 418664064 is about 20461.2820712682. The cubic root of 418664064 is about 748.0923751816.

The spelling of 418664064 in words is "four hundred eighteen million, six hundred sixty-four thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 11981 17472 23962 34944 35943 47924 71886 83867 95848 143772 155753 167734 191696 251601 287544 311506 335468 383392 467259 503202 575088 623012 670936 766784 934518 1006404 1090271 1150176 1246024 1341872 1533568 1869036 2012808 2180542 2300352 2492048 2683744 3270813 3738072 4025616 4361084 4600704 4984096 5367488 6541626 7476144 8051232 8722168 9968192 10734976 13083252 14952288 16102464 17444336 19936384 26166504 29904576 32204928 34888672 52333008 59809152 69777344 104666016 139554688 209332032 418664064