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61388082 = 2327361163
BaseRepresentation
bin1110101000101…
…1010100110010
311021111211121200
43222023110302
5111203404312
610031432030
71343535000
oct352132462
9137454550
1061388082
1131719858
1218685616
13c944a12
14821da70
1555c90dc
hex3a8b532

61388082 has 96 divisors (see below), whose sum is σ = 158620800. Its totient is φ = 17146080.

The previous prime is 61388057. The next prime is 61388083. The reversal of 61388082 is 28088316.

61388082 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 2×613880822 = 7536993223277448, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61388083) 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 47 ways as a sum of consecutive naturals, for example, 376533 + ... + 376695.

It is an arithmetic number, because the mean of its divisors is an integer number (1652300).

Almost surely, 261388082 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61388082, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79310400).

61388082 is an abundant number, since it is smaller than the sum of its proper divisors (97232718).

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

61388082 is a wasteful number, since it uses less digits than its factorization.

61388082 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 61388082 is about 7835.0546903005. The cubic root of 61388082 is about 394.4827540447.

The spelling of 61388082 in words is "sixty-one million, three hundred eighty-eight thousand, eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 61 63 98 122 126 147 163 183 294 326 343 366 427 441 489 549 686 854 882 978 1029 1098 1141 1281 1467 2058 2282 2562 2934 2989 3087 3423 3843 5978 6174 6846 7686 7987 8967 9943 10269 15974 17934 19886 20538 20923 23961 26901 29829 41846 47922 53802 55909 59658 62769 69601 71883 89487 111818 125538 139202 143766 167727 178974 188307 208803 335454 376614 417606 487207 503181 626409 974414 1006362 1252818 1461621 2923242 3410449 4384863 6820898 8769726 10231347 20462694 30694041 61388082