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61894112 = 257475879
BaseRepresentation
bin1110110000011…
…0110111100000
311022110112202112
43230012313200
5111321102422
610050334452
71351043210
oct354066740
9138415675
1061894112
1131a34a65
121888a428
13ca91147
148312240
155678ee2
hex3b06de0

61894112 has 48 divisors (see below), whose sum is σ = 142248960. Its totient is φ = 25957248.

The previous prime is 61894109. The next prime is 61894117. The reversal of 61894112 is 21149816.

61894112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×618941122 = 7661762200537088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61894117) 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, 7589 + ... + 13467.

It is an arithmetic number, because the mean of its divisors is an integer number (2963520).

Almost surely, 261894112 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 61894112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71124480).

61894112 is an abundant number, since it is smaller than the sum of its proper divisors (80354848).

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

61894112 is a wasteful number, since it uses less digits than its factorization.

61894112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5943 (or 5935 counting only the distinct ones).

The product of its digits is 3456, while the sum is 32.

The square root of 61894112 is about 7867.2811059476. The cubic root of 61894112 is about 395.5637136352.

It can be divided in two parts, 6189 and 4112, that added together give a palindrome (10301).

The spelling of 61894112 in words is "sixty-one million, eight hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 94 112 188 224 329 376 658 752 1316 1504 2632 5264 5879 10528 11758 23516 41153 47032 82306 94064 164612 188128 276313 329224 552626 658448 1105252 1316896 1934191 2210504 3868382 4421008 7736764 8842016 15473528 30947056 61894112