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422004096 = 2732794637
BaseRepresentation
bin11001001001110…
…100010110000000
31002102002000210100
4121021310112000
51331013112341
6105513002400
713312655433
oct3111642600
91072060710
10422004096
111a7234a18
12b93b3400
1369576c87
144009181a
15270ad3b6
hex19274580

422004096 has 96 divisors (see below), whose sum is σ = 1229997600. Its totient is φ = 138857472.

The previous prime is 422004067. The next prime is 422004097. The reversal of 422004096 is 690400224.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422004097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 88690 + ... + 93326.

It is an arithmetic number, because the mean of its divisors is an integer number (12812475).

Almost surely, 2422004096 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 422004096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (614998800).

422004096 is an abundant number, since it is smaller than the sum of its proper divisors (807993504).

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

422004096 is a wasteful number, since it uses less digits than its factorization.

422004096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4736 (or 4721 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 422004096 is about 20542.7382790124. The cubic root of 422004096 is about 750.0764935314.

The spelling of 422004096 in words is "four hundred twenty-two million, four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 79 96 128 144 158 192 237 288 316 384 474 576 632 711 948 1152 1264 1422 1896 2528 2844 3792 4637 5056 5688 7584 9274 10112 11376 13911 15168 18548 22752 27822 30336 37096 41733 45504 55644 74192 83466 91008 111288 148384 166932 222576 296768 333864 366323 445152 593536 667728 732646 890304 1098969 1335456 1465292 1780608 2197938 2670912 2930584 3296907 4395876 5341824 5861168 6593814 8791752 11722336 13187628 17583504 23444672 26375256 35167008 46889344 52750512 70334016 105501024 140668032 211002048 422004096