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19421248 = 267211563
BaseRepresentation
bin100101000010…
…1100001000000
31100112200221111
41022011201000
514432434443
61532133104
7324035500
oct112054100
940480844
1019421248
11aa65520
126607194
13403cb82
142817a00
151a8969d
hex1285840

19421248 has 84 divisors (see below), whose sum is σ = 48993552. Its totient is φ = 7553280.

The previous prime is 19421239. The next prime is 19421323. The reversal of 19421248 is 84212491.

It is a nialpdrome in base 11.

It is a zygodrome in base 3.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34215 + ... + 34777.

Almost surely, 219421248 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 19421248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24496776).

19421248 is an abundant number, since it is smaller than the sum of its proper divisors (29572304).

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

19421248 is a wasteful number, since it uses less digits than its factorization.

19421248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 600 (or 583 counting only the distinct ones).

The product of its digits is 4608, while the sum is 31.

The square root of 19421248 is about 4406.9545039630. The cubic root of 19421248 is about 268.7978009079.

It can be divided in two parts, 1 and 9421248, that added together give a palindrome (9421249).

The spelling of 19421248 in words is "nineteen million, four hundred twenty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 49 56 64 77 88 98 112 154 176 196 224 308 352 392 448 539 563 616 704 784 1078 1126 1232 1568 2156 2252 2464 3136 3941 4312 4504 4928 6193 7882 8624 9008 12386 15764 17248 18016 24772 27587 31528 34496 36032 43351 49544 55174 63056 86702 99088 110348 126112 173404 198176 220696 252224 303457 346808 396352 441392 606914 693616 882784 1213828 1387232 1765568 2427656 2774464 4855312 9710624 19421248