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19052172 = 2235171153
BaseRepresentation
bin100100010101…
…1011010001100
31022211221200000
41020223122030
514334132142
61520204300
7320640456
oct110533214
938757600
1019052172
11a8331a7
126469690
133c40b99
14275d2d6
151a1514c
hex122b68c

19052172 has 72 divisors (see below), whose sum is σ = 52927056. Its totient is φ = 5971968.

The previous prime is 19052153. The next prime is 19052203. The reversal of 19052172 is 27125091.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15948 + ... + 17100.

It is an arithmetic number, because the mean of its divisors is an integer number (735098).

Almost surely, 219052172 is an apocalyptic number.

19052172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19052172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26463528).

19052172 is an abundant number, since it is smaller than the sum of its proper divisors (33874884).

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

19052172 is a wasteful number, since it uses less digits than its factorization.

19052172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189 (or 1175 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 19052172 is about 4364.8793797767. The cubic root of 19052172 is about 267.0841799964.

The spelling of 19052172 in words is "nineteen million, fifty-two thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 243 306 324 459 486 612 918 972 1153 1377 1836 2306 2754 3459 4131 4612 5508 6918 8262 10377 13836 16524 19601 20754 31131 39202 41508 58803 62262 78404 93393 117606 124524 176409 186786 235212 280179 352818 373572 529227 560358 705636 1058454 1120716 1587681 2116908 3175362 4763043 6350724 9526086 19052172