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61781382 = 23213833181
BaseRepresentation
bin1110101110101…
…1010110000110
311022020211010100
43223223112012
5111304001012
610044104530
71350063435
oct353532606
9138224110
1061781382
11319682a3
1218835146
13ca51a40
1482c311c
1556558dc
hex3aeb586

61781382 has 48 divisors (see below), whose sum is σ = 145939248. Its totient is φ = 18774720.

The previous prime is 61781371. The next prime is 61781389. The reversal of 61781382 is 28318716.

61781382 = 21742 + 21752 + ... + 21862.

61781382 is a `hidden beast` number, since 617 + 8 + 1 + 38 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61781389) 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, 17832 + ... + 21012.

It is an arithmetic number, because the mean of its divisors is an integer number (3040401).

Almost surely, 261781382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61781382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72969624).

61781382 is an abundant number, since it is smaller than the sum of its proper divisors (84157866).

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

61781382 is a wasteful number, since it uses less digits than its factorization.

61781382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3285 (or 3282 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 61781382 is about 7860.1133579612. The cubic root of 61781382 is about 395.3234161567.

The spelling of 61781382 in words is "sixty-one million, seven hundred eighty-one thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 83 117 166 234 249 498 747 1079 1494 2158 3181 3237 6362 6474 9543 9711 19086 19422 28629 41353 57258 82706 124059 248118 264023 372177 528046 744354 792069 1584138 2376207 3432299 4752414 6864598 10296897 20593794 30890691 61781382