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61111904 = 2571983173
BaseRepresentation
bin1110100100011…
…1111001100000
311020222210202212
43221013321200
5111121040104
610021501252
71341304550
oct351077140
9136883685
1061111904
1131550307
1218571828
13c8790b9
14818b160
15557236e
hex3a47e60

61111904 has 96 divisors (see below), whose sum is σ = 147329280. Its totient is φ = 24371712.

The previous prime is 61111879. The next prime is 61111907. The reversal of 61111904 is 40911116.

61111904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 61111904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61111907) 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 15 ways as a sum of consecutive naturals, for example, 353162 + ... + 353334.

It is an arithmetic number, because the mean of its divisors is an integer number (1534680).

Almost surely, 261111904 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 61111904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73664640).

61111904 is an abundant number, since it is smaller than the sum of its proper divisors (86217376).

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

61111904 is a wasteful number, since it uses less digits than its factorization.

61111904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 23.

The square root of 61111904 is about 7817.4103128850. The cubic root of 61111904 is about 393.8902869902.

The spelling of 61111904 in words is "sixty-one million, one hundred eleven thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 83 112 133 152 166 173 224 266 304 332 346 532 581 608 664 692 1064 1162 1211 1328 1384 1577 2128 2324 2422 2656 2768 3154 3287 4256 4648 4844 5536 6308 6574 9296 9688 11039 12616 13148 14359 18592 19376 22078 23009 25232 26296 28718 38752 44156 46018 50464 52592 57436 88312 92036 100513 105184 114872 176624 184072 201026 229744 272821 353248 368144 402052 459488 545642 736288 804104 1091284 1608208 1909747 2182568 3216416 3819494 4365136 7638988 8730272 15277976 30555952 61111904