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5422144 = 26731319
BaseRepresentation
bin10100101011110001000000
3101012110210011
4110223301000
52342002034
6312114304
764042000
oct24536100
911173704
105422144
113073812
121995994
13117ac90
14a12000
15721864
hex52bc40

5422144 has 112 divisors (see below), whose sum is σ = 14224000. Its totient is φ = 2032128.

The previous prime is 5422139. The next prime is 5422169. The reversal of 5422144 is 4412245.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 285367 + ... + 285385.

It is an arithmetic number, because the mean of its divisors is an integer number (127000).

Almost surely, 25422144 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 5422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7112000).

5422144 is an abundant number, since it is smaller than the sum of its proper divisors (8801856).

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

5422144 is a wasteful number, since it uses less digits than its factorization.

5422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its digits is 1280, while the sum is 22.

The square root of 5422144 is about 2328.5497632647. The cubic root of 5422144 is about 175.6805500075.

Adding to 5422144 its reverse (4412245), we get a palindrome (9834389).

The spelling of 5422144 in words is "five million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 49 52 56 64 76 91 98 104 112 133 152 182 196 208 224 247 266 304 343 364 392 416 448 494 532 608 637 686 728 784 832 931 988 1064 1216 1274 1372 1456 1568 1729 1862 1976 2128 2548 2744 2912 3136 3458 3724 3952 4256 4459 5096 5488 5824 6517 6916 7448 7904 8512 8918 10192 10976 12103 13034 13832 14896 15808 17836 20384 21952 24206 26068 27664 29792 35672 40768 48412 52136 55328 59584 71344 84721 96824 104272 110656 142688 169442 193648 208544 285376 338884 387296 417088 677768 774592 1355536 2711072 5422144