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61431424 = 271273779
BaseRepresentation
bin1110101001010…
…1111010000000
311021121001001221
43222111322000
5111211301144
610032404424
71344105235
oct352257200
9137531057
1061431424
113174937a
12186a6714
13c95b672
14823178c
1555d6d84
hex3a95e80

61431424 has 32 divisors (see below), whose sum is σ = 123379200. Its totient is φ = 30465792.

The previous prime is 61431373. The next prime is 61431479. The reversal of 61431424 is 42413416.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14367 + ... + 18145.

It is an arithmetic number, because the mean of its divisors is an integer number (3855600).

Almost surely, 261431424 is an apocalyptic number.

61431424 is a gapful number since it is divisible by the number (64) 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 61431424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61689600).

61431424 is an abundant number, since it is smaller than the sum of its proper divisors (61947776).

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

61431424 is a wasteful number, since it uses less digits than its factorization.

61431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3908 counting only the distinct ones).

The product of its digits is 2304, while the sum is 25.

The square root of 61431424 is about 7837.8201051058. The cubic root of 61431424 is about 394.5755714598.

The spelling of 61431424 in words is "sixty-one million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 127 128 254 508 1016 2032 3779 4064 7558 8128 15116 16256 30232 60464 120928 241856 479933 483712 959866 1919732 3839464 7678928 15357856 30715712 61431424