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19042944 = 273101491
BaseRepresentation
bin100100010100…
…1001010000000
31022211111000020
41020221022000
514333333234
61520053440
7320601534
oct110511200
938744006
1019042944
11a827278
126464280
133c3991b
142759bc4
151a12549
hex1229280

19042944 has 64 divisors (see below), whose sum is σ = 51187680. Its totient is φ = 6272000.

The previous prime is 19042931. The next prime is 19042951. The reversal of 19042944 is 44924091.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 38539 + ... + 39029.

Almost surely, 219042944 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 19042944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25593840).

19042944 is an abundant number, since it is smaller than the sum of its proper divisors (32144736).

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

19042944 is a wasteful number, since it uses less digits than its factorization.

19042944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 609 (or 597 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 19042944 is about 4363.8221778620. The cubic root of 19042944 is about 267.0410519156.

It can be divided in two parts, 190 and 42944, that added together give a palindrome (43134).

The spelling of 19042944 in words is "nineteen million, forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 303 384 404 491 606 808 982 1212 1473 1616 1964 2424 2946 3232 3928 4848 5892 6464 7856 9696 11784 12928 15712 19392 23568 31424 38784 47136 49591 62848 94272 99182 148773 188544 198364 297546 396728 595092 793456 1190184 1586912 2380368 3173824 4760736 6347648 9521472 19042944