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19428444 = 2233731829
BaseRepresentation
bin100101000011…
…1010001011100
31100120001211000
41022013101130
514433202234
61532230300
7324065460
oct112072134
940501730
1019428444
11aa6a972
12660b390
134043229
14281a4a0
151a8b899
hex128745c

19428444 has 96 divisors (see below), whose sum is σ = 59494400. Its totient is φ = 5365440.

The previous prime is 19428443. The next prime is 19428449. The reversal of 19428444 is 44482491.

19428444 is a `hidden beast` number, since 194 + 28 + 444 = 666.

It is a super-2 number, since 2×194284442 = 754928872522272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 19428399 and 19428408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19428443) 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 31 ways as a sum of consecutive naturals, for example, 23022 + ... + 23850.

Almost surely, 219428444 is an apocalyptic number.

19428444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19428444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29747200).

19428444 is an abundant number, since it is smaller than the sum of its proper divisors (40065956).

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

19428444 is a wasteful number, since it uses less digits than its factorization.

19428444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 872 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The square root of 19428444 is about 4407.7708651880. The cubic root of 19428444 is about 268.8309953097.

The spelling of 19428444 in words is "nineteen million, four hundred twenty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 31 36 42 54 62 63 84 93 108 124 126 186 189 217 252 279 372 378 434 558 651 756 829 837 868 1116 1302 1658 1674 1953 2487 2604 3316 3348 3906 4974 5803 5859 7461 7812 9948 11606 11718 14922 17409 22383 23212 23436 25699 29844 34818 44766 51398 52227 69636 77097 89532 102796 104454 154194 156681 179893 208908 231291 308388 313362 359786 462582 539679 626724 693873 719572 925164 1079358 1387746 1619037 2158716 2775492 3238074 4857111 6476148 9714222 19428444