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266381604 = 223253149937
BaseRepresentation
bin11111110000010…
…10100100100100
3200120020120212100
433320022210210
51021143202404
642233252100
76413130516
oct1770124444
9616216770
10266381604
11127402495
1275264030
1343259b68
1427541bb6
15185bcd39
hexfe0a924

266381604 has 72 divisors (see below), whose sum is σ = 691399800. Its totient is φ = 86441472.

The previous prime is 266381593. The next prime is 266381623. The reversal of 266381604 is 406183662.

266381604 is a `hidden beast` number, since 2 + 6 + 638 + 16 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39204 + 266342400 = 198^2 + 16320^2 .

It is a super-2 number, since 2×2663816042 = 141918317899225632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283824 + ... + 284760.

It is an arithmetic number, because the mean of its divisors is an integer number (9602775).

Almost surely, 2266381604 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 266381604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345699900).

266381604 is an abundant number, since it is smaller than the sum of its proper divisors (425018196).

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

266381604 is a wasteful number, since it uses less digits than its factorization.

266381604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1149 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 266381604 is about 16321.2010587456. The cubic root of 266381604 is about 643.4301538143.

The spelling of 266381604 in words is "two hundred sixty-six million, three hundred eighty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 149 159 212 298 318 447 477 596 636 894 937 954 1341 1788 1874 1908 2682 2811 3748 5364 5622 7897 8433 11244 15794 16866 23691 31588 33732 47382 49661 71073 94764 99322 139613 142146 148983 198644 279226 284292 297966 418839 446949 558452 595932 837678 893898 1256517 1675356 1787796 2513034 5026068 7399489 14798978 22198467 29597956 44396934 66595401 88793868 133190802 266381604