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66411048 = 233111072351
BaseRepresentation
bin1111110101010…
…1101000101000
311121222000211110
43331111220220
5114000123143
610331230320
71434325134
oct375255050
9147860743
1066411048
113453a670
121a2a83a0
13109b30a2
148b6a3c4
155c6c533
hex3f55a28

66411048 has 64 divisors (see below), whose sum is σ = 182891520. Its totient is φ = 19928000.

The previous prime is 66411043. The next prime is 66411053. The reversal of 66411048 is 84011466.

It is an interprime number because it is at equal distance from previous prime (66411043) and next prime (66411053).

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66411043) 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, 27073 + ... + 29423.

It is an arithmetic number, because the mean of its divisors is an integer number (2857680).

Almost surely, 266411048 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 66411048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91445760).

66411048 is an abundant number, since it is smaller than the sum of its proper divisors (116480472).

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

66411048 is a wasteful number, since it uses less digits than its factorization.

66411048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2474 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 66411048 is about 8149.2973930272. The cubic root of 66411048 is about 404.9612278079.

It can be divided in two parts, 66 and 411048, that added together give a palindrome (411114).

The spelling of 66411048 in words is "sixty-six million, four hundred eleven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 107 132 214 264 321 428 642 856 1177 1284 2351 2354 2568 3531 4702 4708 7053 7062 9404 9416 14106 14124 18808 25861 28212 28248 51722 56424 77583 103444 155166 206888 251557 310332 503114 620664 754671 1006228 1509342 2012456 2767127 3018684 5534254 6037368 8301381 11068508 16602762 22137016 33205524 66411048