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61386112 = 271943587
BaseRepresentation
bin1110101000101…
…0110110000000
311021111201220201
43222022312000
5111203323422
610031414544
71343526154
oct352126600
9137451821
1061386112
1131718327
1218684454
13c943b58
14821d064
1555c8727
hex3a8ad80

61386112 has 64 divisors (see below), whose sum is σ = 131947200. Its totient is φ = 28353024.

The previous prime is 61386097. The next prime is 61386121. The reversal of 61386112 is 21168316.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 104283 + ... + 104869.

It is an arithmetic number, because the mean of its divisors is an integer number (2061675).

Almost surely, 261386112 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 61386112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65973600).

61386112 is an abundant number, since it is smaller than the sum of its proper divisors (70561088).

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

61386112 is a wasteful number, since it uses less digits than its factorization.

61386112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 651 counting only the distinct ones).

The product of its digits is 1728, while the sum is 28.

The square root of 61386112 is about 7834.9289722371. The cubic root of 61386112 is about 394.4785342281.

The spelling of 61386112 in words is "sixty-one million, three hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 43 64 76 86 128 152 172 304 344 587 608 688 817 1174 1216 1376 1634 2348 2432 2752 3268 4696 5504 6536 9392 11153 13072 18784 22306 25241 26144 37568 44612 50482 52288 75136 89224 100964 104576 178448 201928 356896 403856 479579 713792 807712 959158 1427584 1615424 1918316 3230848 3836632 7673264 15346528 30693056 61386112