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422907744 = 25373591753
BaseRepresentation
bin11001001101010…
…000111101100000
31002110202221100210
4121031100331200
51331231021434
6105544214120
713323441120
oct3115207540
91073687323
10422907744
111a77a1936
12b976a340
136980238c
1440248c80
15271daee9
hex19350f60

422907744 has 96 divisors (see below), whose sum is σ = 1272983040. Its totient is φ = 120425472.

The previous prime is 422907733. The next prime is 422907769. The reversal of 422907744 is 447709224.

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

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 240372 + ... + 242124.

It is an arithmetic number, because the mean of its divisors is an integer number (13260240).

Almost surely, 2422907744 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 422907744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636491520).

422907744 is an abundant number, since it is smaller than the sum of its proper divisors (850075296).

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

422907744 is a wasteful number, since it uses less digits than its factorization.

422907744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2132 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 422907744 is about 20564.7208587912. The cubic root of 422907744 is about 750.6114977363.

The spelling of 422907744 in words is "four hundred twenty-two million, nine hundred seven thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 359 672 718 1077 1436 1753 2154 2513 2872 3506 4308 5026 5259 5744 7012 7539 8616 10052 10518 11488 12271 14024 15078 17232 20104 21036 24542 28048 30156 34464 36813 40208 42072 49084 56096 60312 73626 80416 84144 98168 120624 147252 168288 196336 241248 294504 392672 589008 629327 1178016 1258654 1887981 2517308 3775962 4405289 5034616 7551924 8810578 10069232 13215867 15103848 17621156 20138464 26431734 30207696 35242312 52863468 60415392 70484624 105726936 140969248 211453872 422907744