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61428066 = 2372375647
BaseRepresentation
bin1110101001010…
…1000101100010
311021120212110120
43222111011202
5111211144231
610032341110
71344062400
oct352250542
9137525416
1061428066
11317468a7
12186a4796
13c959c8b
148230470
1555d5d96
hex3a95162

61428066 has 48 divisors (see below), whose sum is σ = 146802816. Its totient is φ = 17073504.

The previous prime is 61428053. The next prime is 61428077. The reversal of 61428066 is 66082416.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8055 + ... + 13701.

It is an arithmetic number, because the mean of its divisors is an integer number (3058392).

Almost surely, 261428066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61428066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73401408).

61428066 is an abundant number, since it is smaller than the sum of its proper divisors (85374750).

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

61428066 is a wasteful number, since it uses less digits than its factorization.

61428066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5703 (or 5696 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 61428066 is about 7837.6058844522. The cubic root of 61428066 is about 394.5683818228.

It can be divided in two parts, 614 and 28066, that added together give a triangular number (28680 = T239).

The spelling of 61428066 in words is "sixty-one million, four hundred twenty-eight thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 98 111 147 222 259 294 518 777 1554 1813 3626 5439 5647 10878 11294 16941 33882 39529 79058 118587 208939 237174 276703 417878 553406 626817 830109 1253634 1462573 1660218 2925146 4387719 8775438 10238011 20476022 30714033 61428066