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61040544 = 2531913329
BaseRepresentation
bin1110100011011…
…0011110100000
311020212011212220
43220312132200
5111111244134
610020151040
71340556525
oct350663640
9136764786
1061040544
1131501734
1218538480
13c852786
14816d14c
15555b149
hex3a367a0

61040544 has 48 divisors (see below), whose sum is σ = 161118720. Its totient is φ = 20234240.

The previous prime is 61040543. The next prime is 61040587. The reversal of 61040544 is 44504016.

61040544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (61040543) 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 7 ways as a sum of consecutive naturals, for example, 16672 + ... + 20000.

It is an arithmetic number, because the mean of its divisors is an integer number (3356640).

Almost surely, 261040544 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 61040544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80559360).

61040544 is an abundant number, since it is smaller than the sum of its proper divisors (100078176).

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

61040544 is a wasteful number, since it uses less digits than its factorization.

61040544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3533 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 61040544 is about 7812.8448083909. The cubic root of 61040544 is about 393.7369128429.

The spelling of 61040544 in words is "sixty-one million, forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 191 382 573 764 1146 1528 2292 3056 3329 4584 6112 6658 9168 9987 13316 18336 19974 26632 39948 53264 79896 106528 159792 319584 635839 1271678 1907517 2543356 3815034 5086712 7630068 10173424 15260136 20346848 30520272 61040544