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19138848 = 253732731
BaseRepresentation
bin100100100000…
…0100100100000
31100000100120020
41021000210200
514344420343
61522113440
7321451251
oct111004440
940010506
1019138848
11a892333
1264ab880
133c71481
142782b28
151a30b83
hex1240920

19138848 has 48 divisors (see below), whose sum is σ = 50946336. Its totient is φ = 6289920.

The previous prime is 19138843. The next prime is 19138849. The reversal of 19138848 is 84883191.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (19138843) 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, 5643 + ... + 8373.

It is an arithmetic number, because the mean of its divisors is an integer number (1061382).

Almost surely, 219138848 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 19138848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25473168).

19138848 is an abundant number, since it is smaller than the sum of its proper divisors (31807488).

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

19138848 is a wasteful number, since it uses less digits than its factorization.

19138848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2817 (or 2809 counting only the distinct ones).

The product of its digits is 55296, while the sum is 42.

The square root of 19138848 is about 4374.7969095719. The cubic root of 19138848 is about 267.4885918214.

The spelling of 19138848 in words is "nineteen million, one hundred thirty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 2731 3504 5462 7008 8193 10924 16386 21848 32772 43696 65544 87392 131088 199363 262176 398726 598089 797452 1196178 1594904 2392356 3189808 4784712 6379616 9569424 19138848