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61042338 = 232739887
BaseRepresentation
bin1110100011011…
…0111010100010
311020212021100100
43220312322202
5111111323323
610020203230
71340565000
oct350667242
9136767310
1061042338
1131503015
1218539516
13c853536
14816da70
15555b943
hex3a36ea2

61042338 has 48 divisors (see below), whose sum is σ = 154252800. Its totient is φ = 17438904.

The previous prime is 61042337. The next prime is 61042339. The reversal of 61042338 is 83324016.

It is a happy number.

61042338 is a `hidden beast` number, since 610 + 42 + 3 + 3 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (61042337) and next prime (61042339).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61042337) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1231 + ... + 11117.

It is an arithmetic number, because the mean of its divisors is an integer number (3213600).

Almost surely, 261042338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61042338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77126400).

61042338 is an abundant number, since it is smaller than the sum of its proper divisors (93210462).

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

61042338 is a wasteful number, since it uses less digits than its factorization.

61042338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9916 (or 9899 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 61042338 is about 7812.9596184801. The cubic root of 61042338 is about 393.7407701540.

The spelling of 61042338 in words is "sixty-one million, forty-two thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 882 1029 2058 3087 6174 9887 19774 29661 59322 69209 88983 138418 177966 207627 415254 484463 622881 968926 1245762 1453389 2906778 3391241 4360167 6782482 8720334 10173723 20347446 30521169 61042338