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402316096 = 26713371867
BaseRepresentation
bin10111111110101…
…101101101000000
31001001000202221011
4113332231231000
51310443103341
6103531010304
712653426140
oct2776555500
91031022834
10402316096
11197108046
12b2899994
1365472880
143b608920
15254beb81
hex17fadb40

402316096 has 112 divisors (see below), whose sum is σ = 1009676416. Its totient is φ = 154773504.

The previous prime is 402316091. The next prime is 402316129. The reversal of 402316096 is 690613204.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×4023160962 = 323716482201362432, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402316091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214555 + ... + 216421.

It is an arithmetic number, because the mean of its divisors is an integer number (9014968).

Almost surely, 2402316096 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 402316096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504838208).

402316096 is an abundant number, since it is smaller than the sum of its proper divisors (607360320).

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

402316096 is a wasteful number, since it uses less digits than its factorization.

402316096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1936 (or 1926 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 402316096 is about 20057.8188245881. The cubic root of 402316096 is about 738.2256588691.

The spelling of 402316096 in words is "four hundred two million, three hundred sixteen thousand, ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 37 52 56 64 74 91 104 112 148 182 208 224 259 296 364 416 448 481 518 592 728 832 962 1036 1184 1456 1867 1924 2072 2368 2912 3367 3734 3848 4144 5824 6734 7468 7696 8288 13069 13468 14936 15392 16576 24271 26138 26936 29872 30784 48542 52276 53872 59744 69079 97084 104552 107744 119488 138158 169897 194168 209104 215488 276316 339794 388336 418208 483553 552632 679588 776672 836416 898027 967106 1105264 1359176 1553344 1796054 1934212 2210528 2718352 3592108 3868424 4421056 5436704 6286189 7184216 7736848 10873408 12572378 14368432 15473696 25144756 28736864 30947392 50289512 57473728 100579024 201158048 402316096