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61339376 = 247311177
BaseRepresentation
bin1110100111111…
…1011011110000
311021102100210202
43221333123300
5111200330001
610030414332
71343243000
oct351773360
9137370722
1061339376
11316961aa
12186613a8
13c9287b7
14820a000
1555b996b
hex3a7f6f0

61339376 has 40 divisors (see below), whose sum is σ = 138607200. Its totient is φ = 26285952.

The previous prime is 61339363. The next prime is 61339381. The reversal of 61339376 is 67393316.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 101 + ... + 11076.

It is an arithmetic number, because the mean of its divisors is an integer number (3465180).

Almost surely, 261339376 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 61339376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69303600).

61339376 is an abundant number, since it is smaller than the sum of its proper divisors (77267824).

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

61339376 is a wasteful number, since it uses less digits than its factorization.

61339376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11206 (or 11186 counting only the distinct ones).

The product of its digits is 61236, while the sum is 38.

The square root of 61339376 is about 7831.9458629385. The cubic root of 61339376 is about 394.3783974113.

The spelling of 61339376 in words is "sixty-one million, three hundred thirty-nine thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 343 392 686 784 1372 2744 5488 11177 22354 44708 78239 89416 156478 178832 312956 547673 625912 1095346 1251824 2190692 3833711 4381384 7667422 8762768 15334844 30669688 61339376