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61052544 = 2732767113
BaseRepresentation
bin1110100011100…
…1011010000000
311020212210100100
43220321122000
5111112140134
610020322400
71340636520
oct350713200
9136783310
1061052544
113150a753
1218543400
13c858087
148173680
15555e999
hex3a39680

61052544 has 192 divisors, whose sum is σ = 205583040. Its totient is φ = 17031168.

The previous prime is 61052539. The next prime is 61052549. The reversal of 61052544 is 44525016.

61052544 is a `hidden beast` number, since 610 + 5 + 2 + 5 + 44 = 666.

It is an interprime number because it is at equal distance from previous prime (61052539) and next prime (61052549).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61052549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 540232 + ... + 540344.

It is an arithmetic number, because the mean of its divisors is an integer number (1070745).

Almost surely, 261052544 is an apocalyptic number.

61052544 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 61052544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102791520).

61052544 is an abundant number, since it is smaller than the sum of its proper divisors (144530496).

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

61052544 is a wasteful number, since it uses less digits than its factorization.

61052544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 61052544 is about 7813.6127367563. The cubic root of 61052544 is about 393.7627128171.

It can be divided in two parts, 6105 and 2544, that added together give a square (8649 = 932).

The spelling of 61052544 in words is "sixty-one million, fifty-two thousand, five hundred forty-four".