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77422068 = 2234832879
BaseRepresentation
bin1001001110101…
…01110111110100
312101200110010000
410213111313310
5124310001233
611403231300
71630035213
oct447256764
9171613100
1077422068
113a780389
1221b18530
1313069b99
14a3d507a
156be4d13
hex49d5df4

77422068 has 60 divisors (see below), whose sum is σ = 204906240. Its totient is φ = 25487568.

The previous prime is 77422067. The next prime is 77422087. The reversal of 77422068 is 86022477.

It is a super-2 number, since 2×774220682 = 11988353226793248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (77422067) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25453 + ... + 28331.

It is an arithmetic number, because the mean of its divisors is an integer number (3415104).

Almost surely, 277422068 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 77422068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102453120).

77422068 is an abundant number, since it is smaller than the sum of its proper divisors (127484172).

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

77422068 is a wasteful number, since it uses less digits than its factorization.

77422068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2978 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 77422068 is about 8798.9810773748. The cubic root of 77422068 is about 426.2079920648.

The spelling of 77422068 in words is "seventy-seven million, four hundred twenty-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 324 332 498 747 996 1494 2241 2879 2988 4482 5758 6723 8637 8964 11516 13446 17274 25911 26892 34548 51822 77733 103644 155466 233199 238957 310932 466398 477914 716871 932796 955828 1433742 2150613 2867484 4301226 6451839 8602452 12903678 19355517 25807356 38711034 77422068