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61990962 = 23112103829
BaseRepresentation
bin1110110001111…
…0100000110010
311022122110121120
43230132200302
5111332202322
610052403110
71351625445
oct354364062
9138573546
1061990962
1131aa0800
1218916496
13cac6257
14833965c
155697a5c
hex3b1e832

61990962 has 48 divisors (see below), whose sum is σ = 137766720. Its totient is φ = 18580320.

The previous prime is 61990961. The next prime is 61990967. The reversal of 61990962 is 26909916.

It is a happy number.

61990962 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61990961) 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 23 ways as a sum of consecutive naturals, for example, 74364 + ... + 75192.

It is an arithmetic number, because the mean of its divisors is an integer number (2870140).

Almost surely, 261990962 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61990962, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68883360).

61990962 is an abundant number, since it is smaller than the sum of its proper divisors (75775758).

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

61990962 is a wasteful number, since it uses less digits than its factorization.

61990962 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 52488, while the sum is 42.

The square root of 61990962 is about 7873.4339395209. The cubic root of 61990962 is about 395.7699280849.

The spelling of 61990962 in words is "sixty-one million, nine hundred ninety thousand, nine hundred sixty-two".

Divisors: 1 2 3 6 11 22 33 66 103 121 206 242 309 363 618 726 829 1133 1658 2266 2487 3399 4974 6798 9119 12463 18238 24926 27357 37389 54714 74778 85387 100309 170774 200618 256161 300927 512322 601854 939257 1878514 2817771 5635542 10331827 20663654 30995481 61990962