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61383648 = 2532692377
BaseRepresentation
bin1110101000101…
…0001111100000
311021111121112110
43222022033200
5111203234043
610031355320
71343516034
oct352121740
9137447473
1061383648
1131716497
1218682b40
13c9429b1
14821c1c4
1555c7b33
hex3a8a3e0

61383648 has 48 divisors (see below), whose sum is σ = 161799120. Its totient is φ = 20376576.

The previous prime is 61383643. The next prime is 61383667. The reversal of 61383648 is 84638316.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61383643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24636 + ... + 27012.

It is an arithmetic number, because the mean of its divisors is an integer number (3370815).

Almost surely, 261383648 is an apocalyptic number.

It is an amenable number.

61383648 is an abundant number, since it is smaller than the sum of its proper divisors (100415472).

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

61383648 is a wasteful number, since it uses less digits than its factorization.

61383648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2659 (or 2651 counting only the distinct ones).

The product of its digits is 82944, while the sum is 39.

The square root of 61383648 is about 7834.7717260939. The cubic root of 61383648 is about 394.4732561173.

The spelling of 61383648 in words is "sixty-one million, three hundred eighty-three thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 269 538 807 1076 1614 2152 2377 3228 4304 4754 6456 7131 8608 9508 12912 14262 19016 25824 28524 38032 57048 76064 114096 228192 639413 1278826 1918239 2557652 3836478 5115304 7672956 10230608 15345912 20461216 30691824 61383648