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129455442 = 23317314549
BaseRepresentation
bin1111011011101…
…01010101010010
3100000121000111000
413231311111102
5231120033232
620502402430
73131232054
oct755652522
9300530430
10129455442
116708a876
1237430416
1320a8796c
141329b8d4
15b57227c
hex7b75552

129455442 has 64 divisors (see below), whose sum is σ = 314496000. Its totient is φ = 39294720.

The previous prime is 129455441. The next prime is 129455461. The reversal of 129455442 is 244554921.

It is a happy number.

129455442 is a `hidden beast` number, since 12 + 94 + 554 + 4 + 2 = 666.

It is a super-2 number, since 2×1294554422 = 33517422926830728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 129455397 and 129455406.

It is not an unprimeable number, because it can be changed into a prime (129455441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26184 + ... + 30732.

It is an arithmetic number, because the mean of its divisors is an integer number (4914000).

Almost surely, 2129455442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129455442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157248000).

129455442 is an abundant number, since it is smaller than the sum of its proper divisors (185040558).

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

129455442 is a wasteful number, since it uses less digits than its factorization.

129455442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608 (or 4602 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 129455442 is about 11377.8487421832. The cubic root of 129455442 is about 505.8713734099.

The spelling of 129455442 in words is "one hundred twenty-nine million, four hundred fifty-five thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 17 18 27 31 34 51 54 62 93 102 153 186 279 306 459 527 558 837 918 1054 1581 1674 3162 4549 4743 9098 9486 13647 14229 27294 28458 40941 77333 81882 122823 141019 154666 231999 245646 282038 423057 463998 695997 846114 1269171 1391994 2087991 2397323 2538342 3807513 4175982 4794646 7191969 7615026 14383938 21575907 43151814 64727721 129455442