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61443672 = 23323791409
BaseRepresentation
bin1110101001100…
…0111001011000
311021121122212120
43222120321120
5111212144142
610032541240
71344156033
oct352307130
9137548776
1061443672
11317575a4
12186b1820
13c964104
14823601a
1555da7ec
hex3a98e58

61443672 has 64 divisors (see below), whose sum is σ = 162432000. Its totient is φ = 19329024.

The previous prime is 61443671. The next prime is 61443691. The reversal of 61443672 is 27634416.

It is a happy number.

61443672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61443671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42904 + ... + 44312.

It is an arithmetic number, because the mean of its divisors is an integer number (2538000).

Almost surely, 261443672 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 61443672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81216000).

61443672 is an abundant number, since it is smaller than the sum of its proper divisors (100988328).

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

61443672 is a wasteful number, since it uses less digits than its factorization.

61443672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 1516 counting only the distinct ones).

The product of its digits is 24192, while the sum is 33.

The square root of 61443672 is about 7838.6014058632. The cubic root of 61443672 is about 394.6017927873.

The spelling of 61443672 in words is "sixty-one million, four hundred forty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 79 92 138 158 184 237 276 316 474 552 632 948 1409 1817 1896 2818 3634 4227 5451 5636 7268 8454 10902 11272 14536 16908 21804 32407 33816 43608 64814 97221 111311 129628 194442 222622 259256 333933 388884 445244 667866 777768 890488 1335732 2560153 2671464 5120306 7680459 10240612 15360918 20481224 30721836 61443672