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61654242 = 23132411483
BaseRepresentation
bin1110101100110…
…0010011100010
311022000100201110
43223030103202
5111240413432
610041244150
71346023656
oct353142342
9138010643
1061654242
1131890821
1218793656
13ca08c00
14828ca66
15562cdcc
hex3acc4e2

61654242 has 48 divisors (see below), whose sum is σ = 136872288. Its totient is φ = 18495360.

The previous prime is 61654231. The next prime is 61654249. The reversal of 61654242 is 24245616.

61654242 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (61654249) 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 23 ways as a sum of consecutive naturals, for example, 40833 + ... + 42315.

It is an arithmetic number, because the mean of its divisors is an integer number (2851506).

Almost surely, 261654242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61654242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68436144).

61654242 is an abundant number, since it is smaller than the sum of its proper divisors (75218046).

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

61654242 is a wasteful number, since it uses less digits than its factorization.

61654242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1542 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 61654242 is about 7852.0215231493. The cubic root of 61654242 is about 395.0520510374.

Adding to 61654242 its reverse (24245616), we get a palindrome (85899858).

The spelling of 61654242 in words is "sixty-one million, six hundred fifty-four thousand, two hundred forty-two".

Divisors: 1 2 3 6 13 26 39 41 78 82 123 169 246 338 507 533 1014 1066 1483 1599 2966 3198 4449 6929 8898 13858 19279 20787 38558 41574 57837 60803 115674 121606 182409 250627 364818 501254 751881 790439 1503762 1580878 2371317 4742634 10275707 20551414 30827121 61654242