Search a number
-
+
19052832 = 253238629
BaseRepresentation
bin100100010101…
…1100100100000
31022211222120110
41020223210200
514334142312
61520211320
7320642421
oct110534440
938758513
1019052832
11a833747
126469b40
133c41286
14275d648
151a1543c
hex122b920

19052832 has 48 divisors (see below), whose sum is σ = 52194240. Its totient is φ = 6074112.

The previous prime is 19052819. The next prime is 19052833. The reversal of 19052832 is 23825091.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 19052832.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19052833) 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, 2107 + ... + 6522.

It is an arithmetic number, because the mean of its divisors is an integer number (1087380).

Almost surely, 219052832 is an apocalyptic number.

19052832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19052832 is an abundant number, since it is smaller than the sum of its proper divisors (33141408).

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

19052832 is a wasteful number, since it uses less digits than its factorization.

19052832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8665 (or 8657 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 19052832 is about 4364.9549825857. The cubic root of 19052832 is about 267.0872640459.

The spelling of 19052832 in words is "nineteen million, fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 8629 17258 25887 34516 51774 69032 103548 138064 198467 207096 276128 396934 414192 595401 793868 828384 1190802 1587736 2381604 3175472 4763208 6350944 9526416 19052832