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66889476 = 2234431479
BaseRepresentation
bin1111111100101…
…0011100000100
311122212100010000
43333022130010
5114110430401
610345401300
71441360023
oct377123404
9148770100
1066889476
1134837065
121a499230
1310b1ca94
148c528ba
155d14186
hex3fca704

66889476 has 60 divisors (see below), whose sum is σ = 175633920. Its totient is φ = 22198320.

The previous prime is 66889469. The next prime is 66889477. The reversal of 66889476 is 67498866.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (66889477) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 139405 + ... + 139883.

It is an arithmetic number, because the mean of its divisors is an integer number (2927232).

Almost surely, 266889476 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 66889476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87816960).

66889476 is an abundant number, since it is smaller than the sum of its proper divisors (108744444).

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

66889476 is a wasteful number, since it uses less digits than its factorization.

66889476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 926 (or 915 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 54.

The square root of 66889476 is about 8178.5986574718. The cubic root of 66889476 is about 405.9313545198.

The spelling of 66889476 in words is "sixty-six million, eight hundred eighty-nine thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 431 479 862 958 1293 1437 1724 1916 2586 2874 3879 4311 5172 5748 7758 8622 11637 12933 15516 17244 23274 25866 34911 38799 46548 51732 69822 77598 139644 155196 206449 412898 619347 825796 1238694 1858041 2477388 3716082 5574123 7432164 11148246 16722369 22296492 33444738 66889476