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66148496 = 24171571549
BaseRepresentation
bin1111110001010…
…1100010010000
311121110200200022
43330111202100
5113413222441
610321443012
71432152521
oct374254220
9147420608
1066148496
1134380387
121a1a0468
131092072b
148adc848
155c1984b
hex3f15890

66148496 has 40 divisors (see below), whose sum is σ = 136654200. Its totient is φ = 30910464.

The previous prime is 66148493. The next prime is 66148531. The reversal of 66148496 is 69484166.

It can be written as a sum of positive squares in 4 ways, for example, as 7840000 + 58308496 = 2800^2 + 7636^2 .

It is not an unprimeable number, because it can be changed into a prime (66148493) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41930 + ... + 43478.

It is an arithmetic number, because the mean of its divisors is an integer number (3416355).

Almost surely, 266148496 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 66148496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68327100).

66148496 is an abundant number, since it is smaller than the sum of its proper divisors (70505704).

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

66148496 is a wasteful number, since it uses less digits than its factorization.

66148496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1725 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 66148496 is about 8133.1725667171. The cubic root of 66148496 is about 404.4268598758.

The spelling of 66148496 in words is "sixty-six million, one hundred forty-eight thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 157 272 314 628 1256 1549 2512 2669 3098 5338 6196 10676 12392 21352 24784 26333 42704 52666 105332 210664 243193 421328 486386 972772 1945544 3891088 4134281 8268562 16537124 33074248 66148496