Search a number
-
+
66898468 = 227131719569
BaseRepresentation
bin1111111100110…
…0101000100100
311122212210110001
43333030220210
5114111222333
610345511044
71441425160
oct377145044
9148783401
1066898468
113484289a
121a4a2484
1310b23bc0
148c55ca0
155d16b7d
hex3fcca24

66898468 has 96 divisors (see below), whose sum is σ = 160876800. Its totient is φ = 23556096.

The previous prime is 66898463. The next prime is 66898471. The reversal of 66898468 is 86489866.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (66898463) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117288 + ... + 117856.

It is an arithmetic number, because the mean of its divisors is an integer number (1675800).

Almost surely, 266898468 is an apocalyptic number.

66898468 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66898468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80438400).

66898468 is an abundant number, since it is smaller than the sum of its proper divisors (93978332).

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

66898468 is a wasteful number, since it uses less digits than its factorization.

66898468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 627 counting only the distinct ones).

The product of its digits is 3981312, while the sum is 55.

The square root of 66898468 is about 8179.1483664254. The cubic root of 66898468 is about 405.9495435853.

The spelling of 66898468 in words is "sixty-six million, eight hundred ninety-eight thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 13 14 17 19 26 28 34 38 52 68 76 91 119 133 182 221 238 247 266 323 364 442 476 494 532 569 646 884 988 1138 1292 1547 1729 2261 2276 3094 3458 3983 4199 4522 6188 6916 7397 7966 8398 9044 9673 10811 14794 15932 16796 19346 21622 29393 29588 38692 43244 51779 58786 67711 75677 103558 117572 125749 135422 140543 151354 183787 207116 251498 270844 281086 302708 367574 502996 562172 735148 880243 983801 1286509 1760486 1967602 2389231 2573018 3520972 3935204 4778462 5146036 9556924 16724617 33449234 66898468