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19425152 = 271779113
BaseRepresentation
bin100101000011…
…0011110000000
31100112220022002
41022012132000
514433101102
61532203132
7324053045
oct112063600
940486262
1019425152
11aa6844a
1266094a8
134041896
1428191cc
151a8a902
hex1286780

19425152 has 64 divisors (see below), whose sum is σ = 41860800. Its totient is φ = 8945664.

The previous prime is 19425151. The next prime is 19425167. The reversal of 19425152 is 25152491.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19425151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171848 + ... + 171960.

It is an arithmetic number, because the mean of its divisors is an integer number (654075).

Almost surely, 219425152 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 19425152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20930400).

19425152 is an abundant number, since it is smaller than the sum of its proper divisors (22435648).

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

19425152 is a wasteful number, since it uses less digits than its factorization.

19425152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 211 counting only the distinct ones).

The product of its digits is 3600, while the sum is 29.

The square root of 19425152 is about 4407.3974179781. The cubic root of 19425152 is about 268.8158106724.

The spelling of 19425152 in words is "nineteen million, four hundred twenty-five thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 79 113 128 136 158 226 272 316 452 544 632 904 1088 1264 1343 1808 1921 2176 2528 2686 3616 3842 5056 5372 7232 7684 8927 10112 10744 14464 15368 17854 21488 30736 35708 42976 61472 71416 85952 122944 142832 151759 171904 245888 285664 303518 571328 607036 1142656 1214072 2428144 4856288 9712576 19425152